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113762952 = 23321580041
BaseRepresentation
bin1101100011111…
…10001010001000
321221001202102200
412301332022020
5213110403302
615142200200
72550653262
oct661761210
9257052380
10113762952
1159241876
1232123060
131a752074
1411174b32
159ec281c
hex6c7e288

113762952 has 24 divisors (see below), whose sum is σ = 308108190. Its totient is φ = 37920960.

The previous prime is 113762921. The next prime is 113762953. The reversal of 113762952 is 259267311.

It can be written as a sum of positive squares in only one way, i.e., 98128836 + 15634116 = 9906^2 + 3954^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (113762953) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 789949 + ... + 790092.

Almost surely, 2113762952 is an apocalyptic number.

113762952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113762952 is an abundant number, since it is smaller than the sum of its proper divisors (194345238).

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

113762952 is a wasteful number, since it uses less digits than its factorization.

113762952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580053 (or 1580046 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 113762952 is about 10665.9716856928. The cubic root of 113762952 is about 484.5444434560.

The spelling of 113762952 in words is "one hundred thirteen million, seven hundred sixty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1580041 3160082 4740123 6320164 9480246 12640328 14220369 18960492 28440738 37920984 56881476 113762952