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56729088 = 293213947
BaseRepresentation
bin1101100001100…
…1111000000000
310221202010200100
43120121320000
5104010312323
65343522400
71256121633
oct330317000
9127663610
1056729088
112a027449
1216bb9400
13b9a3210
147769c1a
154ea8943
hex3619e00

56729088 has 120 divisors (see below), whose sum is σ = 176504328. Its totient is φ = 17436672.

The previous prime is 56729087. The next prime is 56729093. The reversal of 56729088 is 88092765.

56729088 is a `hidden beast` number, since 567 + 2 + 9 + 0 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56729087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59431 + ... + 60377.

Almost surely, 256729088 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 56729088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88252164).

56729088 is an abundant number, since it is smaller than the sum of its proper divisors (119775240).

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

56729088 is a wasteful number, since it uses less digits than its factorization.

56729088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 56729088 is about 7531.8714805817. The cubic root of 56729088 is about 384.2394340090.

The spelling of 56729088 in words is "fifty-six million, seven hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 947 1152 1248 1536 1664 1872 1894 2304 2496 2841 3328 3744 3788 4608 4992 5682 6656 7488 7576 8523 9984 11364 12311 14976 15152 17046 19968 22728 24622 29952 30304 34092 36933 45456 49244 59904 60608 68184 73866 90912 98488 110799 121216 136368 147732 181824 196976 221598 242432 272736 295464 363648 393952 443196 484864 545472 590928 727296 787904 886392 1090944 1181856 1454592 1575808 1772784 2181888 2363712 3151616 3545568 4363776 4727424 6303232 7091136 9454848 14182272 18909696 28364544 56729088