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56912128 = 287213349
BaseRepresentation
bin1101100100011…
…0100100000000
310222002102202121
43121012210000
5104032142003
65351454024
71260513400
oct331064400
9128072677
1056912128
112a141a19
1217087314
13ba38620
1477b6800
154ee2cbd
hex3646900

56912128 has 108 divisors (see below), whose sum is σ = 142722300. Its totient is φ = 22450176.

The previous prime is 56912117. The next prime is 56912147. The reversal of 56912128 is 82121965.

It can be written as a sum of positive squares in 2 ways, for example, as 24285184 + 32626944 = 4928^2 + 5712^2 .

It is a junction number, because it is equal to n+sod(n) for n = 56912093 and 56912102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162898 + ... + 163246.

Almost surely, 256912128 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 56912128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71361150).

56912128 is an abundant number, since it is smaller than the sum of its proper divisors (85810172).

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

56912128 is a wasteful number, since it uses less digits than its factorization.

56912128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 371 counting only the distinct ones).

The product of its digits is 8640, while the sum is 34.

The square root of 56912128 is about 7544.0127253339. The cubic root of 56912128 is about 384.6522479703.

The spelling of 56912128 in words is "fifty-six million, nine hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 349 364 392 416 448 637 698 728 784 832 896 1274 1396 1456 1568 1664 1792 2443 2548 2792 2912 3136 3328 4537 4886 5096 5584 5824 6272 9074 9772 10192 11168 11648 12544 17101 18148 19544 20384 22336 23296 31759 34202 36296 39088 40768 44672 63518 68404 72592 78176 81536 89344 127036 136808 145184 156352 163072 222313 254072 273616 290368 312704 444626 508144 547232 580736 625408 889252 1016288 1094464 1161472 1778504 2032576 2188928 3557008 4065152 4377856 7114016 8130304 14228032 28456064 56912128