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56557116 = 22347112267
BaseRepresentation
bin1101011110111…
…1111000111100
310221102101210000
43113233320330
5103434311431
65340114300
71254504360
oct327577074
9127371700
1056557116
1129a1a220
1216b35990
13b942b65
1477232a0
154e729e6
hex35efe3c

56557116 has 120 divisors (see below), whose sum is σ = 184415616. Its totient is φ = 14683680.

The previous prime is 56557093. The next prime is 56557117. The reversal of 56557116 is 61175565.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56557117) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23815 + ... + 26081.

Almost surely, 256557116 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 56557116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92207808).

56557116 is an abundant number, since it is smaller than the sum of its proper divisors (127858500).

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

56557116 is a wasteful number, since it uses less digits than its factorization.

56557116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301 (or 2290 counting only the distinct ones).

The product of its digits is 31500, while the sum is 36.

The square root of 56557116 is about 7520.4465292960. The cubic root of 56557116 is about 383.8507720935.

The spelling of 56557116 in words is "fifty-six million, five hundred fifty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 252 297 308 324 378 396 462 567 594 693 756 891 924 1134 1188 1386 1782 2079 2267 2268 2772 3564 4158 4534 6237 6801 8316 9068 12474 13602 15869 20403 24937 24948 27204 31738 40806 47607 49874 61209 63476 74811 81612 95214 99748 122418 142821 149622 174559 183627 190428 224433 244836 285642 299244 349118 367254 428463 448866 523677 571284 673299 698236 734508 856926 897732 1047354 1285389 1346598 1571031 1713852 2019897 2094708 2570778 2693196 3142062 4039794 4713093 5141556 6284124 8079588 9426186 14139279 18852372 28278558 56557116