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45684432 = 2433105751
BaseRepresentation
bin1010111001000…
…1011011010000
310011222000021000
42232101123100
543143400212
64311102000
71063211523
oct256213320
9104860230
1045684432
1123873432
1213371900
139607011
1460d2bba
1540261dc
hex2b916d0

45684432 has 40 divisors (see below), whose sum is σ = 131132480. Its totient is φ = 15228000.

The previous prime is 45684383. The next prime is 45684433. The reversal of 45684432 is 23448654.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45684433) 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, 52444 + ... + 53307.

It is an arithmetic number, because the mean of its divisors is an integer number (3278312).

Almost surely, 245684432 is an apocalyptic number.

It is an amenable number.

45684432 is an abundant number, since it is smaller than the sum of its proper divisors (85448048).

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

45684432 is a wasteful number, since it uses less digits than its factorization.

45684432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105768 (or 105756 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 45684432 is about 6759.0259653296. The cubic root of 45684432 is about 357.4835619286.

The spelling of 45684432 in words is "forty-five million, six hundred eighty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 105751 211502 317253 423004 634506 846008 951759 1269012 1692016 1903518 2538024 2855277 3807036 5076048 5710554 7614072 11421108 15228144 22842216 45684432