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45716384 = 257409499
BaseRepresentation
bin1010111001100…
…1001110100000
310012000122002102
42232121032200
543200411014
64311505532
71063403630
oct256311640
9105018072
1045716384
112389543a
12133882a8
13961871c
1461006c0
1540308de
hex2b993a0

45716384 has 48 divisors (see below), whose sum is σ = 103320000. Its totient is φ = 19505664.

The previous prime is 45716371. The next prime is 45716393. The reversal of 45716384 is 48361754.

It is a super-3 number, since 3×457163843 (a number of 24 digits) contains 333 as substring.

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, 91367 + ... + 91865.

It is an arithmetic number, because the mean of its divisors is an integer number (2152500).

Almost surely, 245716384 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 45716384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51660000).

45716384 is an abundant number, since it is smaller than the sum of its proper divisors (57603616).

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

45716384 is a wasteful number, since it uses less digits than its factorization.

45716384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 917 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 45716384 is about 6761.3892063688. The cubic root of 45716384 is about 357.5668846446.

The spelling of 45716384 in words is "forty-five million, seven hundred sixteen thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 409 499 818 998 1636 1996 2863 3272 3493 3992 5726 6544 6986 7984 11452 13088 13972 15968 22904 27944 45808 55888 91616 111776 204091 408182 816364 1428637 1632728 2857274 3265456 5714548 6530912 11429096 22858192 45716384