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642534816 = 25371186923
BaseRepresentation
bin100110010011000…
…100110110100000
31122210001011001210
4212103010312200
52303442103231
6143431430120
721631312230
oct4623046640
91583034053
10642534816
112aa76aa10
1215b225340
13a316c121
1461499cc0
153b620a46
hex264c4da0

642534816 has 96 divisors (see below), whose sum is σ = 2102865408. Its totient is φ = 166890240.

The previous prime is 642534811. The next prime is 642534869. The reversal of 642534816 is 618435246.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (642534811) 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, 36070 + ... + 50853.

It is an arithmetic number, because the mean of its divisors is an integer number (21904848).

Almost surely, 2642534816 is an apocalyptic number.

642534816 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

642534816 is an abundant number, since it is smaller than the sum of its proper divisors (1460330592).

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

642534816 is a wasteful number, since it uses less digits than its factorization.

642534816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86954 (or 86946 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 642534816 is about 25348.2704735451. The cubic root of 642534816 is about 862.9101054953.

The spelling of 642534816 in words is "six hundred forty-two million, five hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 86923 173846 260769 347692 521538 608461 695384 956153 1043076 1216922 1390768 1825383 1912306 2086152 2433844 2781536 2868459 3650766 3824612 4172304 4867688 5736918 6693071 7301532 7649224 8344608 9735376 11473836 13386142 14603064 15298448 19470752 20079213 22947672 26772284 29206128 30596896 40158426 45895344 53544568 58412256 80316852 91790688 107089136 160633704 214178272 321267408 642534816