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56882688 = 293291277
BaseRepresentation
bin1101100011111…
…1011000000000
310222000221101020
43120333120000
5104030221223
65351105440
71260331512
oct330773000
9128027336
1056882688
112a121895
1217072280
13ba280c5
1477a9bb2
154ed91e3
hex363f600

56882688 has 80 divisors (see below), whose sum is σ = 156887280. Its totient is φ = 18292736.

The previous prime is 56882671. The next prime is 56882699. The reversal of 56882688 is 88628865.

It is a self number, because there is not a number n which added to its sum of digits gives 56882688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43906 + ... + 45182.

It is an arithmetic number, because the mean of its divisors is an integer number (1961091).

Almost surely, 256882688 is an apocalyptic number.

56882688 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56882688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78443640).

56882688 is an abundant number, since it is smaller than the sum of its proper divisors (100004592).

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

56882688 is a wasteful number, since it uses less digits than its factorization.

56882688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1311 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 51.

The square root of 56882688 is about 7542.0612567123. The cubic root of 56882688 is about 384.5859111117.

The spelling of 56882688 in words is "fifty-six million, eight hundred eighty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1277 1392 1536 1856 2554 2784 3712 3831 5108 5568 7424 7662 10216 11136 14848 15324 20432 22272 30648 37033 40864 44544 61296 74066 81728 111099 122592 148132 163456 222198 245184 296264 326912 444396 490368 592528 653824 888792 980736 1185056 1777584 1961472 2370112 3555168 4740224 7110336 9480448 14220672 18960896 28441344 56882688