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679317632 = 2773137661
BaseRepresentation
bin101000011111011…
…001000010000000
31202100020220121022
4220133121002000
52342401131012
6151224045012
722556050610
oct5037310200
91670226538
10679317632
11319503434
1216b603768
13aa97a4c6
1466312a40
153e989472
hex287d9080

679317632 has 128 divisors (see below), whose sum is σ = 1642183680. Its totient is φ = 273715200.

The previous prime is 679317631. The next prime is 679317647. The reversal of 679317632 is 236713976.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6793176322 = 922944890292174848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (679317631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1027382 + ... + 1028042.

It is an arithmetic number, because the mean of its divisors is an integer number (12829560).

Almost surely, 2679317632 is an apocalyptic number.

679317632 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679317632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821091840).

679317632 is an abundant number, since it is smaller than the sum of its proper divisors (962866048).

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

679317632 is a wasteful number, since it uses less digits than its factorization.

679317632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 738 counting only the distinct ones).

The product of its digits is 285768, while the sum is 44.

The square root of 679317632 is about 26063.7225276820. The cubic root of 679317632 is about 879.0716932554.

The spelling of 679317632 in words is "six hundred seventy-nine million, three hundred seventeen thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 37 56 62 64 74 112 124 128 148 217 224 248 259 296 434 448 496 518 592 661 868 896 992 1036 1147 1184 1322 1736 1984 2072 2294 2368 2644 3472 3968 4144 4588 4627 4736 5288 6944 8029 8288 9176 9254 10576 13888 16058 16576 18352 18508 20491 21152 24457 27776 32116 33152 36704 37016 40982 42304 48914 64232 73408 74032 81964 84608 97828 128464 143437 146816 148064 163928 171199 195656 256928 286874 296128 327856 342398 391312 513856 573748 592256 655712 684796 758167 782624 1027712 1147496 1311424 1369592 1516334 1565248 2294992 2622848 2739184 3032668 3130496 4589984 5307169 5478368 6065336 9179968 10614338 10956736 12130672 18359936 21228676 21913472 24261344 42457352 48522688 84914704 97045376 169829408 339658816 679317632