Wednesday, May 31, 2017

Number of the day: 51453

Properties of the number 51453:

51453 = 32 × 5717 is the 46187th composite number and is not squarefree.
51453 has 2 distinct prime factors, 6 divisors, 17 antidivisors and 34296 totatives.
51453 has a triangular digit product 300 in base 10.
51453 = 43 + 293 + 303 is the sum of 3 positive cubes in 1 way.
51453 = 257272 - 257262 = 85772 - 85742 = 28632 - 28542 is the difference of 2 nonnegative squares in 3 ways.
51453 is the difference of 2 positive pentagonal numbers in 1 way.
51453 = 782 + 2132 is the sum of 2 positive squares in 1 way.
51453 = 112 + 342 + 2242 is the sum of 3 positive squares.
514532 = 332282 + 392852 is the sum of 2 positive squares in 1 way.
514532 is the sum of 3 positive squares.
51453 is a proper divisor of 191429 - 1.
51453 = '5' + '1453' is the concatenation of 2 prime numbers.
51453 = '51' + '453' is the concatenation of 2 semiprime numbers.
51453 is palindromic in (at least) base -46.
51453 in base 7 = 303003 and consists of only the digits '0' and '3'.
51453 in base 45 = PII and consists of only the digits 'I' and 'P'.
51453 in base 49 = LL3 and consists of only the digits '3' and 'L'.

The number 51453 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A033896: Sort then Add!.
A033903: Sort then Add!.
A272051: Partial sums of the number of active (ON,black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 421", based on the 5-celled von Neumann neighborhood.

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