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45642096 = 2433105653
BaseRepresentation
bin1010111000011…
…1000101110000
310011212212012000
42232013011300
543141021341
64310134000
71062644223
oct256070560
9104785160
1045642096
1123844645
1213351300
1395c0976
1460c15ba
1540188b6
hex2b87170

45642096 has 40 divisors (see below), whose sum is σ = 131010960. Its totient is φ = 15213888.

The previous prime is 45642073. The next prime is 45642101. The reversal of 45642096 is 69024654.

45642096 is a `hidden beast` number, since 4 + 5 + 642 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45642096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52395 + ... + 53258.

It is an arithmetic number, because the mean of its divisors is an integer number (3275274).

Almost surely, 245642096 is an apocalyptic number.

It is an amenable number.

45642096 is an abundant number, since it is smaller than the sum of its proper divisors (85368864).

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

45642096 is a wasteful number, since it uses less digits than its factorization.

45642096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105670 (or 105658 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 45642096 is about 6755.8934272234. The cubic root of 45642096 is about 357.3731005097.

The spelling of 45642096 in words is "forty-five million, six hundred forty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 105653 211306 316959 422612 633918 845224 950877 1267836 1690448 1901754 2535672 2852631 3803508 5071344 5705262 7607016 11410524 15214032 22821048 45642096