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56400786 = 2351379113
BaseRepresentation
bin1101011100100…
…1101110010010
310221010110100000
43113021232102
5103414311121
65332510430
71253253531
oct327115622
9127113300
1056400786
1129922822
1216a7b416
13b8b9960
1476c2318
154e41526
hex35c9b92

56400786 has 96 divisors (see below), whose sum is σ = 139426560. Its totient is φ = 16982784.

The previous prime is 56400733. The next prime is 56400787. The reversal of 56400786 is 68700465.

It is a happy number.

56400786 is a `hidden beast` number, since 5 + 640 + 0 + 7 + 8 + 6 = 666.

It is a super-2 number, since 2×564007862 = 6362097322835592, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56400786.

It is not an unprimeable number, because it can be changed into a prime (56400787) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 499066 + ... + 499178.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 256400786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56400786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69713280).

56400786 is an abundant number, since it is smaller than the sum of its proper divisors (83025774).

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

56400786 is a wasteful number, since it uses less digits than its factorization.

56400786 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 56400786 is about 7510.0456722979. The cubic root of 56400786 is about 383.4967773505.

The spelling of 56400786 in words is "fifty-six million, four hundred thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 79 81 113 117 158 162 226 234 237 243 339 351 474 486 678 702 711 1017 1027 1053 1422 1469 2034 2054 2106 2133 2938 3051 3081 3159 4266 4407 6102 6162 6318 6399 8814 8927 9153 9243 12798 13221 17854 18306 18486 19197 26442 26781 27459 27729 38394 39663 53562 54918 55458 79326 80343 83187 116051 118989 160686 166374 232102 237978 241029 249561 348153 356967 482058 499122 696306 713934 723087 1044459 1446174 2088918 2169261 3133377 4338522 6266754 9400131 18800262 28200393 56400786