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45719616 = 2632271049
BaseRepresentation
bin1010111001101…
…0000001000000
310012000210112010
42232122001000
543201011431
64311532520
71063416225
oct256320100
9105023463
1045719616
1123897908
121338a140
13961a037
14610194c
154031846
hex2b9a040

45719616 has 56 divisors (see below), whose sum is σ = 121615200. Its totient is φ = 15158272.

The previous prime is 45719599. The next prime is 45719617. The reversal of 45719616 is 61691754.

It is not an unprimeable number, because it can be changed into a prime (45719617) 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, 43060 + ... + 44108.

It is an arithmetic number, because the mean of its divisors is an integer number (2171700).

Almost surely, 245719616 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 45719616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60807600).

45719616 is an abundant number, since it is smaller than the sum of its proper divisors (75895584).

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

45719616 is a wasteful number, since it uses less digits than its factorization.

45719616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1281 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 45719616 is about 6761.6282062829. The cubic root of 45719616 is about 357.5753107188.

The spelling of 45719616 in words is "forty-five million, seven hundred nineteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 227 454 681 908 1049 1362 1816 2098 2724 3147 3632 4196 5448 6294 7264 8392 10896 12588 14528 16784 21792 25176 33568 43584 50352 67136 100704 201408 238123 476246 714369 952492 1428738 1904984 2857476 3809968 5714952 7619936 11429904 15239872 22859808 45719616