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56903112 = 2332721272
BaseRepresentation
bin1101100100010…
…0010111001000
310222001222101200
43121010113020
5104031344422
65351344200
71260445200
oct331042710
9128058350
1056903112
112a136172
1217082060
13ba344a6
1477b3400
154ee02ac
hex36445c8

56903112 has 108 divisors (see below), whose sum is σ = 180696555. Its totient is φ = 16130016.

The previous prime is 56903111. The next prime is 56903153. The reversal of 56903112 is 21130965.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 28451556 + 28451556 = 5334^2 + 5334^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5334.

It is not an unprimeable number, because it can be changed into a prime (56903111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 447993 + ... + 448119.

Almost surely, 256903112 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 56903112

56903112 is an abundant number, since it is smaller than the sum of its proper divisors (123793443).

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

56903112 is a wasteful number, since it uses less digits than its factorization.

56903112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 56903112 is about 7543.4151416981. The cubic root of 56903112 is about 384.6319347381.

The spelling of 56903112 in words is "fifty-six million, nine hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 127 147 168 196 252 254 294 381 392 441 504 508 588 762 882 889 1016 1143 1176 1524 1764 1778 2286 2667 3048 3528 3556 4572 5334 6223 7112 8001 9144 10668 12446 16002 16129 18669 21336 24892 32004 32258 37338 48387 49784 56007 64008 64516 74676 96774 112014 112903 129032 145161 149352 193548 224028 225806 290322 338709 387096 448056 451612 580644 677418 790321 903224 1016127 1161288 1354836 1580642 2032254 2370963 2709672 3161284 4064508 4741926 6322568 7112889 8129016 9483852 14225778 18967704 28451556 56903112