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687478464 = 26322351893
BaseRepresentation
bin101000111110100…
…001011011000000
31202220121112011100
4220332201123000
52401443302324
6152115014400
723015320251
oct5076413300
91686545140
10687478464
11323077822
1217229a400
13ac576bba
1467438b28
154054c4c9
hex28fa16c0

687478464 has 84 divisors (see below), whose sum is σ = 2056247856. Its totient is φ = 219191808.

The previous prime is 687478457. The next prime is 687478471. The reversal of 687478464 is 464874786.

It is an interprime number because it is at equal distance from previous prime (687478457) and next prime (687478471).

It is a self number, because there is not a number n which added to its sum of digits gives 687478464.

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 11 ways as a sum of consecutive naturals, for example, 12699 + ... + 39194.

Almost surely, 2687478464 is an apocalyptic number.

687478464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

687478464 is an abundant number, since it is smaller than the sum of its proper divisors (1368769392).

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

687478464 is a wasteful number, since it uses less digits than its factorization.

687478464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51934 (or 51921 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 687478464 is about 26219.8105256312. The cubic root of 687478464 is about 882.5778680284.

The spelling of 687478464 in words is "six hundred eighty-seven million, four hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 184 192 207 276 288 368 414 552 576 736 828 1104 1472 1656 2208 3312 4416 6624 13248 51893 103786 155679 207572 311358 415144 467037 622716 830288 934074 1193539 1245432 1660576 1868148 2387078 2490864 3321152 3580617 3736296 4774156 4981728 7161234 7472592 9548312 9963456 10741851 14322468 14945184 19096624 21483702 28644936 29890368 38193248 42967404 57289872 76386496 85934808 114579744 171869616 229159488 343739232 687478464