Number of the day: 454962

Properties of the number 454962:

454962 = 2 × 3 × 191 × 397 is the 416882^th composite number and is squarefree.
454962 has 4 distinct prime factors, 16 divisors, 23 antidivisors and 150480 totatives.
454962 has a sphenic digit sum 30 in base 10.
454962 has an oblong digit sum 30 in base 10.
Reversing the decimal digits of 454962 results in a sphenic number.
454962 is the sum of 2 positive triangular numbers.
454962 is the difference of 2 positive pentagonal numbers in 2 ways.
454962 = 25² + 64² + 671² is the sum of 3 positive squares.
454962² = 261288² + 372450² is the sum of 2 positive squares in 1 way.
454962² is the sum of 3 positive squares.
454962 is a divisor of 383¹⁸ - 1.
454962 = '4' + '54962' is the concatenation of 2 semiprime numbers.

Number of the day: 29464680473917

Properties of the number 29464680473917:

29464680473917 = 13 × 647 × 3503112647 is a sphenic number and squarefree.
29464680473917 has 3 distinct prime factors, 8 divisors, 23 antidivisors and 27156129231792 totatives.
29464680473917 has a sphenic digit sum 70 in base 10.
29464680473917 = 14732340236959² - 14732340236958² = 1133256941311² - 1133256941298² = 22770232529² - 22770231882² = 1751560529² - 1751552118² is the difference of 2 nonnegative squares in 4 ways.
29464680473917 is the difference of 2 positive pentagonal numbers in 4 ways.
29464680473917 = 7816² + 15531² + 5428110² is the sum of 3 positive squares.
29464680473917² = 11332569413045² + 27198166591308² is the sum of 2 positive squares in 1 way.
29464680473917² is the sum of 3 positive squares.
29464680473917 is a divisor of 1361^8120852043 - 1.
29464680473917 = '2946468047' + '3917' is the concatenation of 2 prime numbers.

Number of the day: 55960

Properties of the number 55960:

55960 = 2³ × 5 × 1399 is the 50279^th composite number and is not squarefree.
55960 has 3 distinct prime factors, 16 divisors, 5 antidivisors and 22368 totatives.
55960 has a semiprime digit sum 25 in base 10.
55960 = 13991² - 13989² = 6997² - 6993² = 2803² - 2793² = 1409² - 1389² is the difference of 2 nonnegative squares in 4 ways.
55960 is the sum of 2 positive triangular numbers.
55960 is the difference of 2 positive pentagonal numbers in 2 ways.
55960 = 30² + 76² + 222² is the sum of 3 positive squares.
55960² = 33576² + 44768² is the sum of 2 positive squares in 1 way.
55960² is the sum of 3 positive squares.
55960 is a divisor of 1009⁶ - 1.
55960 is palindromic in (at least) the following bases: -71, and -75.

The number 55960 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A157660: 8000n - 40.

Number of the day: 46040

Properties of the number 46040:

46040 = 2³ × 5 × 1151 is the 41276^th composite number and is not squarefree.
46040 has 3 distinct prime factors, 16 divisors, 17 antidivisors and 18400 totatives.
46040 has a semiprime digit sum 14 in base 10.
46040 = 11511² - 11509² = 5757² - 5753² = 2307² - 2297² = 1161² - 1141² is the difference of 2 nonnegative squares in 4 ways.
46040 is the difference of 2 positive pentagonal numbers in 2 ways.
46040 = 10² + 12² + 214² is the sum of 3 positive squares.
46040² = 27624² + 36832² is the sum of 2 positive squares in 1 way.
46040² is the sum of 3 positive squares.
46040 is a divisor of 1619¹⁰ - 1.
46040 is palindromic in (at least) the following bases: 93, -67, and -99.
46040 in base 59 = DDK and consists of only the digits 'D' and 'K'.

The number 46040 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A120543: Bond series for second parallel moment of hexagonal net.
A120549: Site percolation series for Kagome lattice.
A157652: 8000n - 1960.
A224141: Number of nX3 0..1 arrays with rows and antidiagonals unimodal and columns nondecreasing

Number of the day: 890943

Properties of the number 890943:

890943 = 3 × 296981 is semiprime and squarefree.
890943 has 2 distinct prime factors, 4 divisors, 19 antidivisors and 593960 totatives.
890943 has a semiprime digit sum 33 in base 10.
890943 = 445472² - 445471² = 148492² - 148489² is the difference of 2 nonnegative squares in 2 ways.
890943 is the difference of 2 positive pentagonal numbers in 1 way.
890943 is not the sum of 3 positive squares.
890943² = 117657² + 883140² is the sum of 2 positive squares in 1 way.
890943² is the sum of 3 positive squares.
890943 is a divisor of 971³¹⁰ - 1.
890943 is an emirpimes in (at least) the following bases: 4, 12, 14, 17, 23, 26, 27, 30, 31, 39, 50, 57, 63, 64, 66, 71, 72, 77, 78, 81, 82, 84, 87, 90, and 91.
890943 is palindromic in (at least) base -97.

Number of the day: 797509

Properties of the number 797509:

797507 and 797509 form a twin prime pair.
797509 has 5 antidivisors and 797508 totatives.
797509 has an emirp digit sum 37 in base 10.
Reversing the decimal digits of 797509 results in a semiprime.
797509 = 398755² - 398754² is the difference of 2 nonnegative squares in 1 way.
797509 is the difference of 2 positive pentagonal numbers in 1 way.
797509 = 222² + 865² is the sum of 2 positive squares in 1 way.
797509 = 82² + 153² + 876² is the sum of 3 positive squares.
797509² = 384060² + 698941² is the sum of 2 positive squares in 1 way.
797509² is the sum of 3 positive squares.
797509 is a divisor of 61²²¹⁵³ - 1.
797509 = '797' + '509' is the concatenation of 2 prime numbers.
797509 is an emirp in (at least) the following bases: 15, 21, 25, 30, 36, 37, 54, 55, 57, 59, 65, 67, 69, 83, 91, 92, and 100.
797509 is palindromic in (at least) base 98.
797509 in base 17 = 99595 and consists of only the digits '5' and '9'.

Number of the day: 28470

Gerolamo Cardano was born on this day 515 years ago.

Properties of the number 28470:

28470 = 2 × 3 × 5 × 13 × 73 is the 25372^th composite number and is squarefree.
28470 has 5 distinct prime factors, 32 divisors, 17 antidivisors and 6912 totatives.
28470 has a semiprime digit sum 21 in base 10.
28470 has a Fibonacci digit sum 21 in base 10.
28470 has a triangular digit sum 21 in base 10.
28470 = (75 × 76)/2 + … + (83 × 84)/2 is the sum of at least 2 consecutive triangular numbers in 1 way.
28470 is the difference of 2 positive pentagonal numbers in 3 ways.
28470 = 26² + 35² + 163² is the sum of 3 positive squares.
28470² = 18720² + 21450² = 9030² + 27000² = 12600² + 25530² = 8976² + 27018² = 2106² + 28392² = 12864² + 25398² = 5928² + 27846² = 5238² + 27984² = 16182² + 23424² = 17082² + 22776² = 7008² + 27594² = 14454² + 24528² = 10950² + 26280² is the sum of 2 positive squares in 13 ways.
28470² is the sum of 3 positive squares.
28470 is a divisor of 1487⁴ - 1.
28470 is palindromic in (at least) the following bases: 41, and -86.
28470 in base 3 = 1110001110 and consists of only the digits '0' and '1'.
28470 in base 27 = 1c1c and consists of only the digits '1' and 'c'.
28470 in base 41 = GcG and consists of only the digits 'G' and 'c'.

The number 28470 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A062254: 3rd level triangle related to Eulerian numbers and binomial transforms (A062253 is second level, triangle of Eulerian numbers is first level and triangle with Z(0,0)=1 and Z(n,k)=0 otherwise is 0th level).
A133409: Zero followed by partial sums of A133405.
A217020: Eulerian numbers of the third order.