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45245616 = 24313312339
BaseRepresentation
bin1010110010011…
…0010010110000
310011010201022120
42230212102300
543040324431
64253434240
71056403263
oct254462260
9104121276
1045245616
11235a3779
121319b980
1394b2370
14601acda
153e8b196
hex2b264b0

45245616 has 80 divisors (see below), whose sum is σ = 129991680. Its totient is φ = 13466880.

The previous prime is 45245611. The next prime is 45245617. The reversal of 45245616 is 61654254.

It is not an unprimeable number, because it can be changed into a prime (45245611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18175 + ... + 20513.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 245245616 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 45245616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64995840).

45245616 is an abundant number, since it is smaller than the sum of its proper divisors (84746064).

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

45245616 is a wasteful number, since it uses less digits than its factorization.

45245616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 2388 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 45245616 is about 6726.4861554901. The cubic root of 45245616 is about 356.3352898900.

The spelling of 45245616 in words is "forty-five million, two hundred forty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2339 2418 3224 4678 4836 6448 7017 9356 9672 14034 18712 19344 28068 30407 37424 56136 60814 72509 91221 112272 121628 145018 182442 217527 243256 290036 364884 435054 486512 580072 729768 870108 942617 1160144 1459536 1740216 1885234 2827851 3480432 3770468 5655702 7540936 11311404 15081872 22622808 45245616