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12475872 = 253243319
BaseRepresentation
bin101111100101…
…110111100000
3212110211200100
4233211313200
511143211442
61123222400
7211020543
oct57456740
925424610
1012475872
117051342
124217a00
13277a796
14192a85a
15116684c
hexbe5de0

12475872 has 36 divisors (see below), whose sum is σ = 35479080. Its totient is φ = 4158528.

The previous prime is 12475871. The next prime is 12475873. The reversal of 12475872 is 27857421.

It is an interprime number because it is at equal distance from previous prime (12475871) and next prime (12475873).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12475871) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21372 + ... + 21947.

It is an arithmetic number, because the mean of its divisors is an integer number (985530).

Almost surely, 212475872 is an apocalyptic number.

12475872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12475872 is an abundant number, since it is smaller than the sum of its proper divisors (23003208).

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

12475872 is a wasteful number, since it uses less digits than its factorization.

12475872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43335 (or 43324 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 12475872 is about 3532.1200432601. The cubic root of 12475872 is about 231.9300224939.

The spelling of 12475872 in words is "twelve million, four hundred seventy-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 43319 86638 129957 173276 259914 346552 389871 519828 693104 779742 1039656 1386208 1559484 2079312 3118968 4158624 6237936 12475872