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56767488 = 2103171087
BaseRepresentation
bin1101100010001…
…1010000000000
310221211002100120
43120203100000
5104013024423
65344420240
71256341611
oct330432000
9127732316
1056767488
112a053288
1217017680
13b9b783b
147779c08
154eb4ee3
hex3623400

56767488 has 88 divisors (see below), whose sum is σ = 160353792. Its totient is φ = 17793024.

The previous prime is 56767481. The next prime is 56767489. The reversal of 56767488 is 88476765.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 56767488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56767481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51681 + ... + 52767.

Almost surely, 256767488 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 56767488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80176896).

56767488 is an abundant number, since it is smaller than the sum of its proper divisors (103586304).

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

56767488 is a wasteful number, since it uses less digits than its factorization.

56767488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1109 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The square root of 56767488 is about 7534.4202165794. The cubic root of 56767488 is about 384.3261118601.

The spelling of 56767488 in words is "fifty-six million, seven hundred sixty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1087 1088 1536 1632 2174 2176 3072 3261 3264 4348 4352 6522 6528 8696 8704 13044 13056 17392 17408 18479 26088 26112 34784 36958 52176 52224 55437 69568 73916 104352 110874 139136 147832 208704 221748 278272 295664 417408 443496 556544 591328 834816 886992 1113088 1182656 1669632 1773984 2365312 3339264 3547968 4730624 7095936 9461248 14191872 18922496 28383744 56767488