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682731972 = 2232133147059
BaseRepresentation
bin101000101100011…
…010100111000100
31202120200101012100
4220230122213010
52344234410342
6151425152100
722630061136
oct5054324704
91676611170
10682731972
113204256aa
1217078b630
13ab5a4620
1466961056
153ee10e4c
hex28b1a9c4

682731972 has 72 divisors (see below), whose sum is σ = 1918542080. Its totient is φ = 203290560.

The previous prime is 682731961. The next prime is 682731991. The reversal of 682731972 is 279137286.

It is a super-2 number, since 2×6827319722 = 932245891182017568, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9022 + ... + 38037.

Almost surely, 2682731972 is an apocalyptic number.

682731972 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

682731972 is an abundant number, since it is smaller than the sum of its proper divisors (1235810108).

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

682731972 is a wasteful number, since it uses less digits than its factorization.

682731972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47113 (or 47108 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 682731972 is about 26129.1402843645. The cubic root of 682731972 is about 880.5420094167.

The spelling of 682731972 in words is "six hundred eighty-two million, seven hundred thirty-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 3627 4836 7254 14508 47059 94118 141177 188236 282354 423531 564708 611767 847062 1223534 1458829 1694124 1835301 2447068 2917658 3670602 4376487 5505903 5835316 7341204 8752974 11011806 13129461 17505948 18964777 22023612 26258922 37929554 52517844 56894331 75859108 113788662 170682993 227577324 341365986 682731972