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645258816 = 26322938629
BaseRepresentation
bin100110011101011…
…101111001000000
31122222011112200200
4212131131321000
52310141240231
6144010045200
721663416016
oct4635357100
91588145620
10645258816
11301260554
12160119800
13a38b3c67
14619a88b6
153b9acbe6
hex2675de40

645258816 has 84 divisors (see below), whose sum is σ = 1913343900. Its totient is φ = 207664128.

The previous prime is 645258781. The next prime is 645258833. The reversal of 645258816 is 618852546.

645258816 is a `hidden beast` number, since 6 + 4 + 52 + 588 + 16 = 666.

645258816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 141705216 + 503553600 = 11904^2 + 22440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2611 + ... + 36018.

Almost surely, 2645258816 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 645258816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956671950).

645258816 is an abundant number, since it is smaller than the sum of its proper divisors (1268085084).

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

645258816 is a wasteful number, since it uses less digits than its factorization.

645258816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38676 (or 38663 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 645258816 is about 25401.9451223720. The cubic root of 645258816 is about 864.1278103104.

The spelling of 645258816 in words is "six hundred forty-five million, two hundred fifty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4176 5568 8352 16704 38629 77258 115887 154516 231774 309032 347661 463548 618064 695322 927096 1120241 1236128 1390644 1854192 2240482 2472256 2781288 3360723 3708384 4480964 5562576 6721446 7416768 8961928 10082169 11125152 13442892 17923856 20164338 22250304 26885784 35847712 40328676 53771568 71695424 80657352 107543136 161314704 215086272 322629408 645258816