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56726032 = 24113137281
BaseRepresentation
bin1101100001100…
…1001000010000
310221201222111011
43120121020100
5104010213112
65343500304
71256110006
oct330311020
9127658434
1056726032
112a025120
1216bb7694
13b9a19cc
147768a76
154ea7aa7
hex3619210

56726032 has 80 divisors (see below), whose sum is σ = 127563264. Its totient is φ = 24192000.

The previous prime is 56726017. The next prime is 56726051. The reversal of 56726032 is 23062765.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 56725985 and 56726003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201732 + ... + 202012.

Almost surely, 256726032 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 56726032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63781632).

56726032 is an abundant number, since it is smaller than the sum of its proper divisors (70837232).

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

56726032 is a wasteful number, since it uses less digits than its factorization.

56726032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 56726032 is about 7531.6686066236. The cubic root of 56726032 is about 384.2325342165.

Adding to 56726032 its reverse (23062765), we get a palindrome (79788797).

The spelling of 56726032 in words is "fifty-six million, seven hundred twenty-six thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 31 37 44 62 74 88 124 148 176 248 281 296 341 407 496 562 592 682 814 1124 1147 1364 1628 2248 2294 2728 3091 3256 4496 4588 5456 6182 6512 8711 9176 10397 12364 12617 17422 18352 20794 24728 25234 34844 41588 49456 50468 69688 83176 95821 100936 114367 139376 166352 191642 201872 228734 322307 383284 457468 644614 766568 914936 1289228 1533136 1829872 2578456 3545377 5156912 7090754 14181508 28363016 56726032