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112525644 = 223711211071
BaseRepresentation
bin1101011010100…
…00000101001100
321211201220011110
412231100011030
5212301310034
615055452020
72534311050
oct655200514
9254656143
10112525644
1158577200
1231827010
131a40ab2a
1410d31c60
159d2ade9
hex6b5014c

112525644 has 72 divisors (see below), whose sum is σ = 329857024. Its totient is φ = 29224800.

The previous prime is 112525639. The next prime is 112525717. The reversal of 112525644 is 446525211.

It is a super-2 number, since 2×1125256442 = 25324041115229472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4629 + ... + 15699.

Almost surely, 2112525644 is an apocalyptic number.

112525644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112525644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164928512).

112525644 is an abundant number, since it is smaller than the sum of its proper divisors (217331380).

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

112525644 is a wasteful number, since it uses less digits than its factorization.

112525644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11107 (or 11094 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 112525644 is about 10607.8105186697. The cubic root of 112525644 is about 482.7813695306.

The spelling of 112525644 in words is "one hundred twelve million, five hundred twenty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1452 1694 2541 3388 5082 10164 11071 22142 33213 44284 66426 77497 121781 132852 154994 232491 243562 309988 365343 464982 487124 730686 852467 929964 1339591 1461372 1704934 2557401 2679182 3409868 4018773 5114802 5358364 8037546 9377137 10229604 16075092 18754274 28131411 37508548 56262822 112525644