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45653868 = 2235133613
BaseRepresentation
bin1010111000100…
…1111101101100
310011220110100000
42232021331230
543141410433
64310304300
71063023441
oct256117554
9104813300
1045653868
1123852477
1213358090
1395c6130
1460c59c8
15401c113
hex2b89f6c

45653868 has 72 divisors (see below), whose sum is σ = 128918608. Its totient is φ = 14043456.

The previous prime is 45653851. The next prime is 45653879. The reversal of 45653868 is 86835654.

45653868 is a `hidden beast` number, since 4 + 56 + 538 + 68 = 666.

It is a super-2 number, since 2×456538682 = 4168551326722848, 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, 10830 + ... + 14442.

Almost surely, 245653868 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 45653868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64459304).

45653868 is an abundant number, since it is smaller than the sum of its proper divisors (83264740).

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

45653868 is a wasteful number, since it uses less digits than its factorization.

45653868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645 (or 3631 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 45653868 is about 6756.7646103738. The cubic root of 45653868 is about 357.4038224008.

The spelling of 45653868 in words is "forty-five million, six hundred fifty-three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 2106 3159 3613 4212 6318 7226 10839 12636 14452 21678 32517 43356 46969 65034 93938 97551 130068 140907 187876 195102 281814 292653 390204 422721 563628 585306 845442 877959 1170612 1268163 1690884 1755918 2536326 3511836 3804489 5072652 7608978 11413467 15217956 22826934 45653868