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679689632 = 25315631217
BaseRepresentation
bin101000100000110…
…011110110100000
31202100221210220002
4220200303312200
52343000032012
6151240035132
722562160266
oct5040636640
91670853802
10679689632
11319737976
1216b762aa8
13aaa7a91b
14663ac436
153ea0e7c2
hex28833da0

679689632 has 48 divisors (see below), whose sum is σ = 1384895232. Its totient is φ = 328028160.

The previous prime is 679689599. The next prime is 679689653. The reversal of 679689632 is 236986976.

It is a super-3 number, since 3×6796896323 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 557888 + ... + 559104.

It is an arithmetic number, because the mean of its divisors is an integer number (28851984).

Almost surely, 2679689632 is an apocalyptic number.

679689632 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 679689632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692447616).

679689632 is an abundant number, since it is smaller than the sum of its proper divisors (705205600).

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

679689632 is a wasteful number, since it uses less digits than its factorization.

679689632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1813 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 56.

The square root of 679689632 is about 26070.8579068660. The cubic root of 679689632 is about 879.2321263040.

The spelling of 679689632 in words is "six hundred seventy-nine million, six hundred eighty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 563 992 1126 1217 2252 2434 4504 4868 9008 9736 17453 18016 19472 34906 37727 38944 69812 75454 139624 150908 279248 301816 558496 603632 685171 1207264 1370342 2740684 5481368 10962736 21240301 21925472 42480602 84961204 169922408 339844816 679689632