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113879952 = 2433263611
BaseRepresentation
bin1101100100110…
…10101110010000
321221021200221000
412302122232100
5213123124302
615144502000
72551651344
oct662325620
9257250830
10113879952
115931176a
123217a900
131a7933b4
14111a5624
159ee731c
hex6c9ab90

113879952 has 40 divisors (see below), whose sum is σ = 326878880. Its totient is φ = 37959840.

The previous prime is 113879947. The next prime is 113879981. The reversal of 113879952 is 259978311.

It is a junction number, because it is equal to n+sod(n) for n = 113879898 and 113879907.

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, 131374 + ... + 132237.

It is an arithmetic number, because the mean of its divisors is an integer number (8171972).

Almost surely, 2113879952 is an apocalyptic number.

113879952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113879952 is an abundant number, since it is smaller than the sum of its proper divisors (212998928).

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

113879952 is a wasteful number, since it uses less digits than its factorization.

113879952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263628 (or 263616 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 113879952 is about 10671.4550085731. The cubic root of 113879952 is about 484.7104971523.

The spelling of 113879952 in words is "one hundred thirteen million, eight hundred seventy-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 263611 527222 790833 1054444 1581666 2108888 2372499 3163332 4217776 4744998 6326664 7117497 9489996 12653328 14234994 18979992 28469988 37959984 56939976 113879952