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23046408 = 23327114157
BaseRepresentation
bin101011111101…
…0100100001000
31121100212201200
41113322210020
521344441113
62141544200
7366614460
oct127724410
947325650
1023046408
1112011120
127875060
134a0bc38
1430bcba0
152053873
hex15fa908

23046408 has 96 divisors (see below), whose sum is σ = 77837760. Its totient is φ = 5984640.

The previous prime is 23046383. The next prime is 23046421. The reversal of 23046408 is 80464032.

It is a super-2 number, since 2×230464082 = 1062273843404928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3466 + ... + 7622.

It is an arithmetic number, because the mean of its divisors is an integer number (810810).

Almost surely, 223046408 is an apocalyptic number.

23046408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

23046408 is the 2772-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23046408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38918880).

23046408 is an abundant number, since it is smaller than the sum of its proper divisors (54791352).

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

23046408 is a wasteful number, since it uses less digits than its factorization.

23046408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 23046408 is about 4800.6674535943. The cubic root of 23046408 is about 284.5778422059.

The spelling of 23046408 in words is "twenty-three million, forty-six thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 4157 5544 8314 12471 16628 24942 29099 33256 37413 45727 49884 58198 74826 87297 91454 99768 116396 137181 149652 174594 182908 232792 261891 274362 299304 320089 349188 365816 411543 523782 548724 640178 698376 823086 960267 1047564 1097448 1280356 1646172 1920534 2095128 2560712 2880801 3292344 3841068 5761602 7682136 11523204 23046408