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45512664 = 23337107479
BaseRepresentation
bin1010110110011…
…1011111011000
310011122021122020
42231213133120
543122401124
64303254440
71061564661
oct255473730
9104567566
1045512664
112376637a
12132aa420
139576a92
14608a368
153ee0379
hex2b677d8

45512664 has 64 divisors (see below), whose sum is σ = 118195200. Its totient is φ = 14592384.

The previous prime is 45512647. The next prime is 45512669. The reversal of 45512664 is 46621554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45512669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94777 + ... + 95255.

It is an arithmetic number, because the mean of its divisors is an integer number (1846800).

Almost surely, 245512664 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 45512664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59097600).

45512664 is an abundant number, since it is smaller than the sum of its proper divisors (72682536).

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

45512664 is a wasteful number, since it uses less digits than its factorization.

45512664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 628 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 45512664 is about 6746.3074344415. The cubic root of 45512664 is about 357.0349674260.

The spelling of 45512664 in words is "forty-five million, five hundred twelve thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 107 111 148 214 222 296 321 428 444 479 642 856 888 958 1284 1437 1916 2568 2874 3832 3959 5748 7918 11496 11877 15836 17723 23754 31672 35446 47508 51253 53169 70892 95016 102506 106338 141784 153759 205012 212676 307518 410024 425352 615036 1230072 1896361 3792722 5689083 7585444 11378166 15170888 22756332 45512664