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23083488 = 253326717
BaseRepresentation
bin101100000001…
…1100111100000
31121102202121000
41120003213200
521402132423
62142432000
7400130541
oct130034740
947382530
1023083488
1112036a6a
127892600
134a22a8c
1430cc4c8
15205e843
hex16039e0

23083488 has 48 divisors (see below), whose sum is σ = 67329360. Its totient is φ = 7694208.

The previous prime is 23083471. The next prime is 23083531. The reversal of 23083488 is 88438032.

It is a happy number.

23083488 is a `hidden beast` number, since 2 + 308 + 348 + 8 = 666.

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

It is a super-2 number, since 2×230834882 = 1065694836492288, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12495 + ... + 14222.

It is an arithmetic number, because the mean of its divisors is an integer number (1402695).

Almost surely, 223083488 is an apocalyptic number.

It is an amenable number.

23083488 is an abundant number, since it is smaller than the sum of its proper divisors (44245872).

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

23083488 is a wasteful number, since it uses less digits than its factorization.

23083488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26736 (or 26722 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 23083488 is about 4804.5278644212. The cubic root of 23083488 is about 284.7303821336.

The spelling of 23083488 in words is "twenty-three million, eighty-three thousand, four 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 26717 53434 80151 106868 160302 213736 240453 320604 427472 480906 641208 721359 854944 961812 1282416 1442718 1923624 2564832 2885436 3847248 5770872 7694496 11541744 23083488