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682575264 = 25327338579
BaseRepresentation
bin101000101011110…
…100010110100000
31202120101102020100
4220223310112200
52344214402024
6151421542400
722625536230
oct5053642640
91676342210
10682575264
11320328998
12170714a00
13ab54b1b7
146691dcc0
153edce7c9
hex28af45a0

682575264 has 72 divisors (see below), whose sum is σ = 2218376160. Its totient is φ = 195020928.

The previous prime is 682575263. The next prime is 682575269. The reversal of 682575264 is 462575286.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (682575263) by changing a digit.

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, 167274 + ... + 171305.

It is an arithmetic number, because the mean of its divisors is an integer number (30810780).

Almost surely, 2682575264 is an apocalyptic number.

It is an amenable number.

682575264 is an abundant number, since it is smaller than the sum of its proper divisors (1535800896).

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

682575264 is a wasteful number, since it uses less digits than its factorization.

682575264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338602 (or 338591 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 682575264 is about 26126.1413913345. The cubic root of 682575264 is about 880.4746337643.

The spelling of 682575264 in words is "six hundred eighty-two million, five hundred seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 338579 677158 1015737 1354316 2031474 2370053 2708632 3047211 4062948 4740106 5417264 6094422 7110159 8125896 9480212 10834528 12188844 14220318 16251792 18960424 21330477 24377688 28440636 32503584 37920848 42660954 48755376 56881272 75841696 85321908 97510752 113762544 170643816 227525088 341287632 682575264