Monday, July 11, 2016

Number of the day: 47435

Properties of the number 47435:

47435 = 5 × 53 × 179 is a sphenic number and squarefree.
47435 has 3 distinct prime factors, 8 divisors, 19 antidivisors and 37024 totatives.
47435 has a prime digit sum 23 in base 10.
Reversing the decimal digits of 47435 results in a semiprime.
47435 = 237182 - 237172 = 47462 - 47412 = 4742 - 4212 = 2222 - 432 is the difference of 2 nonnegative squares in 4 ways.
47435 is the difference of 2 positive pentagonal numbers in 3 ways.
47435 = 112 + 152 + 2172 is the sum of 3 positive squares.
474352 = 284612 + 379482 = 171842 + 442132 = 41172 + 472562 = 250602 + 402752 is the sum of 2 positive squares in 4 ways.
474352 is the sum of 3 positive squares.
47435 is a divisor of 178926 - 1.
47435 = '4' + '7435' is the concatenation of 2 semiprime numbers.
47435 is palindromic in (at least) the following bases: 64, 90, and 93.
47435 in base 38 = WWB and consists of only the digits 'B' and 'W'.

The number 47435 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A034081: Decimal part of n-th root of a(n) starts with digit 4.
A204657: Numbers n such that n!10+2 is prime.
A244834: Number of length 3 0..n arrays with each partial sum starting from the beginning no more than two standard deviataions from its mean

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