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113252544 = 2632972027
BaseRepresentation
bin1101100000000…
…01100011000000
321220002211021200
412300001203000
5212443040134
615123221200
72543426226
oct660014300
9256084250
10113252544
1158a23349
1231b17800
131a603952
1411080b16
159e21499
hex6c018c0

113252544 has 84 divisors (see below), whose sum is σ = 328126344. Its totient is φ = 37343232.

The previous prime is 113252527. The next prime is 113252551. The reversal of 113252544 is 445252311.

113252544 is a `hidden beast` number, since 1 + 132 + 525 + 4 + 4 = 666.

It is a super-2 number, since 2×1132525442 = 25652277444943872, which contains 22 as substring.

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, 54859 + ... + 56885.

It is an arithmetic number, because the mean of its divisors is an integer number (3906266).

Almost surely, 2113252544 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 113252544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164063172).

113252544 is an abundant number, since it is smaller than the sum of its proper divisors (214873800).

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

113252544 is a wasteful number, since it uses less digits than its factorization.

113252544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2129 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 113252544 is about 10642.0178537719. The cubic root of 113252544 is about 483.8187058635.

The spelling of 113252544 in words is "one hundred thirteen million, two hundred fifty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 144 192 194 288 291 388 576 582 776 873 1164 1552 1746 2027 2328 3104 3492 4054 4656 6081 6208 6984 8108 9312 12162 13968 16216 18243 18624 24324 27936 32432 36486 48648 55872 64864 72972 97296 129728 145944 194592 196619 291888 389184 393238 583776 589857 786476 1167552 1179714 1572952 1769571 2359428 3145904 3539142 4718856 6291808 7078284 9437712 12583616 14156568 18875424 28313136 37750848 56626272 113252544