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56457132 = 223191931283
BaseRepresentation
bin1101011101011…
…1011110101100
310221020022121220
43113113132230
5103423112012
65334023340
71253610024
oct327273654
9127208556
1056457132
1129961096
1216aa7b50
13b9094b4
1476d8a84
154e5308c
hex35d77ac

56457132 has 48 divisors (see below), whose sum is σ = 139493760. Its totient is φ = 17722368.

The previous prime is 56457127. The next prime is 56457139. The reversal of 56457132 is 23175465.

It is a junction number, because it is equal to n+sod(n) for n = 56457093 and 56457102.

It is not an unprimeable number, because it can be changed into a prime (56457139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43363 + ... + 44645.

It is an arithmetic number, because the mean of its divisors is an integer number (2906120).

Almost surely, 256457132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56457132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69746880).

56457132 is an abundant number, since it is smaller than the sum of its proper divisors (83036628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56457132 is a wasteful number, since it uses less digits than its factorization.

56457132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1500 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 56457132 is about 7513.7961111545. The cubic root of 56457132 is about 383.6244429328.

The spelling of 56457132 in words is "fifty-six million, four hundred fifty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 193 228 386 579 772 1158 1283 2316 2566 3667 3849 5132 7334 7698 11001 14668 15396 22002 24377 44004 48754 73131 97508 146262 247619 292524 495238 742857 990476 1485714 2971428 4704761 9409522 14114283 18819044 28228566 56457132