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45609168 = 2431186381
BaseRepresentation
bin1010110111111…
…1000011010000
310011211012000110
42231333003100
543133443133
64305321320
71062446223
oct255770320
9104735013
1045609168
1123821930
1213336240
1395ab997
1460b35ba
15400dc63
hex2b7f0d0

45609168 has 40 divisors (see below), whose sum is σ = 128536416. Its totient is φ = 13820800.

The previous prime is 45609167. The next prime is 45609191. The reversal of 45609168 is 86190654.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45609167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42663 + ... + 43718.

Almost surely, 245609168 is an apocalyptic number.

45609168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45609168 is an abundant number, since it is smaller than the sum of its proper divisors (82927248).

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

45609168 is a wasteful number, since it uses less digits than its factorization.

45609168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86403 (or 86397 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 45609168 is about 6753.4560041508. The cubic root of 45609168 is about 357.2871388392.

The spelling of 45609168 in words is "forty-five million, six hundred nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 86381 172762 259143 345524 518286 691048 950191 1036572 1382096 1900382 2073144 2850573 3800764 4146288 5701146 7601528 11402292 15203056 22804584 45609168