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45525816 = 23327591531
BaseRepresentation
bin1010110110101…
…0101100111000
310011122221200100
42231222230320
543123311231
64303435400
71061651220
oct255525470
9104587610
1045525816
1123775246
12132b5b60
13957ca6b
146091080
153ee41e6
hex2b6ab38

45525816 has 96 divisors (see below), whose sum is σ = 143395200. Its totient is φ = 12778560.

The previous prime is 45525803. The next prime is 45525871. The reversal of 45525816 is 61852554.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28971 + ... + 30501.

It is an arithmetic number, because the mean of its divisors is an integer number (1493700).

Almost surely, 245525816 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 45525816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71697600).

45525816 is an abundant number, since it is smaller than the sum of its proper divisors (97869384).

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

45525816 is a wasteful number, since it uses less digits than its factorization.

45525816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1602 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 45525816 is about 6747.2821194908. The cubic root of 45525816 is about 357.0693554493.

The spelling of 45525816 in words is "forty-five million, five hundred twenty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 59 63 72 84 118 126 168 177 236 252 354 413 472 504 531 708 826 1062 1239 1416 1531 1652 2124 2478 3062 3304 3717 4248 4593 4956 6124 7434 9186 9912 10717 12248 13779 14868 18372 21434 27558 29736 32151 36744 42868 55116 64302 85736 90329 96453 110232 128604 180658 192906 257208 270987 361316 385812 541974 632303 722632 771624 812961 1083948 1264606 1625922 1896909 2167896 2529212 3251844 3793818 5058424 5690727 6503688 7587636 11381454 15175272 22762908 45525816