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23983872 = 2831117167
BaseRepresentation
bin101101101111…
…1011100000000
31200010111200120
41123133130000
522114440442
62214020240
7410600553
oct133373400
950114616
1023983872
11125a1490
128047680
134c79853
14328469a
15218b4ec
hex16df700

23983872 has 144 divisors (see below), whose sum is σ = 74172672. Its totient is φ = 6799360.

The previous prime is 23983867. The next prime is 23983901. The reversal of 23983872 is 27838932.

It is a super-2 number, since 2×239838722 = 1150452232224768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 143533 + ... + 143699.

It is an arithmetic number, because the mean of its divisors is an integer number (515088).

Almost surely, 223983872 is an apocalyptic number.

23983872 is a gapful number since it is divisible by the number (22) 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 23983872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37086336).

23983872 is an abundant number, since it is smaller than the sum of its proper divisors (50188800).

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

23983872 is a wasteful number, since it uses less digits than its factorization.

23983872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 23983872 is about 4897.3331518287. Note that the first 3 decimals coincide. The cubic root of 23983872 is about 288.3852868021.

The spelling of 23983872 in words is "twenty-three million, nine hundred eighty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 167 176 187 192 204 256 264 272 334 352 374 384 408 501 528 544 561 668 704 748 768 816 1002 1056 1088 1122 1336 1408 1496 1632 1837 2004 2112 2176 2244 2672 2816 2839 2992 3264 3674 4008 4224 4352 4488 5344 5511 5678 5984 6528 7348 8016 8448 8517 8976 10688 11022 11356 11968 13056 14696 16032 17034 17952 21376 22044 22712 23936 29392 31229 32064 34068 35904 42752 44088 45424 47872 58784 62458 64128 68136 71808 88176 90848 93687 117568 124916 128256 136272 143616 176352 181696 187374 235136 249832 272544 352704 363392 374748 470272 499664 545088 705408 726784 749496 999328 1090176 1410816 1498992 1998656 2180352 2997984 3997312 5995968 7994624 11991936 23983872