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113457888 = 2533131317
BaseRepresentation
bin1101100001100…
…11101011100000
321220111020222000
412300303223200
5213021123023
615131444000
72545243005
oct660635340
9256436860
10113457888
1159053655
1231bb6600
131a67625b
14110d58ac
159e62243
hex6c33ae0

113457888 has 48 divisors (see below), whose sum is σ = 330921360. Its totient is φ = 37819008.

The previous prime is 113457871. The next prime is 113457907. The reversal of 113457888 is 888754311.

It is a happy number.

113457888 is a `hidden beast` number, since 113 + 457 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a plaindrome in base 10.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 64795 + ... + 66522.

It is an arithmetic number, because the mean of its divisors is an integer number (6894195).

Almost surely, 2113457888 is an apocalyptic number.

113457888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

113457888 is an abundant number, since it is smaller than the sum of its proper divisors (217463472).

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

113457888 is a wasteful number, since it uses less digits than its factorization.

113457888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131336 (or 131322 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 113457888 is about 10651.6612788804. The cubic root of 113457888 is about 484.1109414877.

The spelling of 113457888 in words is "one hundred thirteen million, four hundred fifty-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 131317 262634 393951 525268 787902 1050536 1181853 1575804 2101072 2363706 3151608 3545559 4202144 4727412 6303216 7091118 9454824 12606432 14182236 18909648 28364472 37819296 56728944 113457888