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23058048 = 2731331149
BaseRepresentation
bin101011111110…
…1011010000000
31121101110200210
41113331122000
521400324143
62142114120
7366663426
oct127753200
947343623
1023058048
1112019942
12787b940
134a14320
1430c3116
152057033
hex15fd680

23058048 has 128 divisors (see below), whose sum is σ = 68544000. Its totient is φ = 6819840.

The previous prime is 23058047. The next prime is 23058053. The reversal of 23058048 is 84085032.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (23058041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 154678 + ... + 154826.

It is an arithmetic number, because the mean of its divisors is an integer number (535500).

Almost surely, 223058048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23058048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34272000).

23058048 is an abundant number, since it is smaller than the sum of its proper divisors (45485952).

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

23058048 is a wasteful number, since it uses less digits than its factorization.

23058048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 23058048 is about 4801.8796319775. The cubic root of 23058048 is about 284.6257445162.

The spelling of 23058048 in words is "twenty-three million, fifty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 149 156 186 192 208 248 298 312 372 384 403 416 447 496 596 624 744 806 832 894 992 1192 1209 1248 1488 1612 1664 1788 1937 1984 2384 2418 2496 2976 3224 3576 3874 3968 4619 4768 4836 4992 5811 5952 6448 7152 7748 9238 9536 9672 11622 11904 12896 13857 14304 15496 18476 19072 19344 23244 25792 27714 28608 30992 36952 38688 46488 51584 55428 57216 60047 61984 73904 77376 92976 110856 120094 123968 147808 154752 180141 185952 221712 240188 247936 295616 360282 371904 443424 480376 591232 720564 743808 886848 960752 1441128 1773696 1921504 2882256 3843008 5764512 7686016 11529024 23058048