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56128716 = 22327247677
BaseRepresentation
bin1101011000011…
…1010011001100
310220121122010100
43112013103030
5103332104331
65323011100
71251041400
oct326072314
9126548110
1056128716
1129757376
1216969a90
13b822b77
147651100
154ddaae6
hex35874cc

56128716 has 108 divisors (see below), whose sum is σ = 168805728. Its totient is φ = 15672384.

The previous prime is 56128703. The next prime is 56128727. The reversal of 56128716 is 61782165.

56128716 is a `hidden beast` number, since 561 + 2 + 87 + 16 = 666.

56128716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82570 + ... + 83246.

It is an arithmetic number, because the mean of its divisors is an integer number (1563016).

Almost surely, 256128716 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 56128716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84402864).

56128716 is an abundant number, since it is smaller than the sum of its proper divisors (112677012).

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

56128716 is a wasteful number, since it uses less digits than its factorization.

56128716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 736 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 56128716 is about 7491.9100368331. The cubic root of 56128716 is about 382.8791370799.

The spelling of 56128716 in words is "fifty-six million, one hundred twenty-eight thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 49 63 84 94 98 126 141 147 188 196 252 282 294 329 423 441 564 588 658 677 846 882 987 1316 1354 1692 1764 1974 2031 2303 2708 2961 3948 4062 4606 4739 5922 6093 6909 8124 9212 9478 11844 12186 13818 14217 18956 20727 24372 27636 28434 31819 33173 41454 42651 56868 63638 66346 82908 85302 95457 99519 127276 132692 170604 190914 199038 222733 286371 298557 381828 398076 445466 572742 597114 668199 890932 1145484 1194228 1336398 1559131 2004597 2672796 3118262 4009194 4677393 6236524 8018388 9354786 14032179 18709572 28064358 56128716