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56726904 = 233131131609
BaseRepresentation
bin1101100001100…
…1010101111000
310221202000200110
43120121111320
5104010230104
65343504320
71256112363
oct330312570
9127660613
1056726904
112a025843
1216bb80a0
13b9a2220
1477690da
154ea7e89
hex3619578

56726904 has 64 divisors (see below), whose sum is σ = 154173600. Its totient is φ = 17289216.

The previous prime is 56726893. The next prime is 56726939. The reversal of 56726904 is 40962765.

56726904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 34452 + ... + 36060.

Almost surely, 256726904 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 56726904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77086800).

56726904 is an abundant number, since it is smaller than the sum of its proper divisors (97446696).

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

56726904 is a wasteful number, since it uses less digits than its factorization.

56726904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 56726904 is about 7531.7264952997. The cubic root of 56726904 is about 384.2345030307.

It can be divided in two parts, 56726 and 904, that added together give a triangular number (57630 = T339).

The spelling of 56726904 in words is "fifty-six million, seven hundred twenty-six thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 113 156 226 312 339 452 678 904 1356 1469 1609 2712 2938 3218 4407 4827 5876 6436 8814 9654 11752 12872 17628 19308 20917 35256 38616 41834 62751 83668 125502 167336 181817 251004 363634 502008 545451 727268 1090902 1454536 2181804 2363621 4363608 4727242 7090863 9454484 14181726 18908968 28363452 56726904