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676517504 = 2713406561
BaseRepresentation
bin101000010100101…
…101011010000000
31202010222122112212
4220110231122000
52341142030004
6151044041252
722523206145
oct5024553200
91663878485
10676517504
11317970683
1216a693228
13aa209b20
1465bc43cc
153e5d496e
hex2852d680

676517504 has 32 divisors (see below), whose sum is σ = 1451426340. Its totient is φ = 312238080.

The previous prime is 676517489. The next prime is 676517519. The reversal of 676517504 is 405715676.

It is an interprime number because it is at equal distance from previous prime (676517489) and next prime (676517519).

It can be written as a sum of positive squares in 2 ways, for example, as 564157504 + 112360000 = 23752^2 + 10600^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 201617 + ... + 204944.

Almost surely, 2676517504 is an apocalyptic number.

676517504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

676517504 is an abundant number, since it is smaller than the sum of its proper divisors (774908836).

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

676517504 is a wasteful number, since it uses less digits than its factorization.

676517504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406588 (or 406576 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 41.

The square root of 676517504 is about 26009.9500960690. The cubic root of 676517504 is about 877.8621936986.

The spelling of 676517504 in words is "six hundred seventy-six million, five hundred seventeen thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 406561 813122 1626244 3252488 5285293 6504976 10570586 13009952 21141172 26019904 42282344 52039808 84564688 169129376 338258752 676517504