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56909952 = 273411499
BaseRepresentation
bin1101100100011…
…0000010000000
310222002022210000
43121012002000
5104032104302
65351440000
71260504141
oct331060200
9128068700
1056909952
112a140320
1217086000
13ba37638
1477b5ac8
154ee231c
hex3646080

56909952 has 160 divisors (see below), whose sum is σ = 185130000. Its totient is φ = 17210880.

The previous prime is 56909947. The next prime is 56909953. The reversal of 56909952 is 25990965.

It is a junction number, because it is equal to n+sod(n) for n = 56909898 and 56909907.

It is not an unprimeable number, because it can be changed into a prime (56909953) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 113799 + ... + 114297.

Almost surely, 256909952 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 56909952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92565000).

56909952 is an abundant number, since it is smaller than the sum of its proper divisors (128220048).

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

56909952 is a wasteful number, since it uses less digits than its factorization.

56909952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 56909952 is about 7543.8685036260. The cubic root of 56909952 is about 384.6473455943.

The spelling of 56909952 in words is "fifty-six million, nine hundred nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 264 288 297 324 352 384 396 432 499 528 576 594 648 704 792 864 891 998 1056 1152 1188 1296 1408 1497 1584 1728 1782 1996 2112 2376 2592 2994 3168 3456 3564 3992 4224 4491 4752 5184 5489 5988 6336 7128 7984 8982 9504 10368 10978 11976 12672 13473 14256 15968 16467 17964 19008 21956 23952 26946 28512 31936 32934 35928 38016 40419 43912 47904 49401 53892 57024 63872 65868 71856 80838 87824 95808 98802 107784 114048 131736 143712 148203 161676 175648 191616 197604 215568 263472 287424 296406 323352 351296 395208 431136 444609 526944 574848 592812 646704 702592 790416 862272 889218 1053888 1185624 1293408 1580832 1724544 1778436 2107776 2371248 2586816 3161664 3556872 4742496 5173632 6323328 7113744 9484992 14227488 18969984 28454976 56909952