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56431032 = 23372571307
BaseRepresentation
bin1101011101000…
…1000110111000
310221011222211020
43113101012320
5103421243112
65333302440
71253440650
oct327210670
9127158736
1056431032
1129943519
1216a94a20
13b8ca658
1476cd360
154e4a48c
hex35d11b8

56431032 has 64 divisors (see below), whose sum is σ = 161982720. Its totient is φ = 16048128.

The previous prime is 56431009. The next prime is 56431057. The reversal of 56431032 is 23013465.

It is a happy number.

56431032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×564310322 = 6368922745170048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 56430993 and 56431011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42523 + ... + 43829.

It is an arithmetic number, because the mean of its divisors is an integer number (2530980).

Almost surely, 256431032 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 56431032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80991360).

56431032 is an abundant number, since it is smaller than the sum of its proper divisors (105551688).

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

56431032 is a wasteful number, since it uses less digits than its factorization.

56431032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 56431032 is about 7512.0591051988. The cubic root of 56431032 is about 383.5653175933.

Adding to 56431032 its reverse (23013465), we get a palindrome (79444497).

The spelling of 56431032 in words is "fifty-six million, four hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 257 514 771 1028 1307 1542 1799 2056 2614 3084 3598 3921 5228 5397 6168 7196 7842 9149 10456 10794 14392 15684 18298 21588 27447 31368 36596 43176 54894 73192 109788 219576 335899 671798 1007697 1343596 2015394 2351293 2687192 4030788 4702586 7053879 8061576 9405172 14107758 18810344 28215516 56431032