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23242688 = 267291789
BaseRepresentation
bin101100010101…
…0011111000000
31121201211222022
41120222133000
521422231223
62150101012
7401362640
oct130523700
947654868
1023242688
1112135637
12794a768
134a7a391
143130520
152091ac8
hex162a7c0

23242688 has 56 divisors (see below), whose sum is σ = 54559200. Its totient is φ = 9612288.

The previous prime is 23242679. The next prime is 23242691. The reversal of 23242688 is 88624232.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 12098 + ... + 13886.

Almost surely, 223242688 is an apocalyptic number.

23242688 is a gapful number since it is divisible by the number (28) 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 23242688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27279600).

23242688 is an abundant number, since it is smaller than the sum of its proper divisors (31316512).

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

23242688 is a wasteful number, since it uses less digits than its factorization.

23242688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1827 counting only the distinct ones).

The product of its digits is 36864, while the sum is 35.

The square root of 23242688 is about 4821.0671017940. The cubic root of 23242688 is about 285.3834502083.

The spelling of 23242688 in words is "twenty-three million, two hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1624 1789 1856 3248 3578 6496 7156 12523 12992 14312 25046 28624 50092 51881 57248 100184 103762 114496 200368 207524 363167 400736 415048 726334 801472 830096 1452668 1660192 2905336 3320384 5810672 11621344 23242688