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45656676 = 223313311049
BaseRepresentation
bin1010111000101…
…0101001100100
310011220121012000
42232022221210
543142003201
64310325300
71063034562
oct256125144
9104817160
1045656676
112385459a
1213359830
1395c74b0
1460c6a32
15401cd86
hex2b8aa64

45656676 has 96 divisors (see below), whose sum is σ = 131712000. Its totient is φ = 13582080.

The previous prime is 45656671. The next prime is 45656683. The reversal of 45656676 is 67665654.

It is not an unprimeable number, because it can be changed into a prime (45656671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43000 + ... + 44048.

It is an arithmetic number, because the mean of its divisors is an integer number (1372000).

Almost surely, 245656676 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 45656676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65856000).

45656676 is an abundant number, since it is smaller than the sum of its proper divisors (86055324).

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

45656676 is a wasteful number, since it uses less digits than its factorization.

45656676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1098 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 45656676 is about 6756.9723989373. The cubic root of 45656676 is about 357.4111497781.

The spelling of 45656676 in words is "forty-five million, six hundred fifty-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 93 108 117 124 156 186 234 279 351 372 403 468 558 702 806 837 1049 1116 1209 1404 1612 1674 2098 2418 3147 3348 3627 4196 4836 6294 7254 9441 10881 12588 13637 14508 18882 21762 27274 28323 32519 37764 40911 43524 54548 56646 65038 81822 97557 113292 122733 130076 163644 195114 245466 292671 368199 390228 422747 490932 585342 736398 845494 878013 1170684 1268241 1472796 1690988 1756026 2536482 3512052 3804723 5072964 7609446 11414169 15218892 22828338 45656676