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675458064 = 243210614421
BaseRepresentation
bin101000010000101…
…010110000010000
31202001222211021100
4220100222300100
52340404124224
6151005224400
722511204331
oct5020526020
91661884240
10675458064
11317307706
1216a262100
13a9c28838
14659ca288
153e475ac9
hex2842ac10

675458064 has 60 divisors (see below), whose sum is σ = 1892554092. Its totient is φ = 224889600.

The previous prime is 675458011. The next prime is 675458081. The reversal of 675458064 is 460854576.

675458064 is a `hidden beast` number, since 6 + 7 + 5 + 4 + 580 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 506250000 + 169208064 = 22500^2 + 13008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150574 + ... + 154994.

Almost surely, 2675458064 is an apocalyptic number.

It is an amenable number.

675458064 is an abundant number, since it is smaller than the sum of its proper divisors (1217096028).

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

675458064 is a wasteful number, since it uses less digits than its factorization.

675458064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5496 (or 5487 counting only the distinct ones).

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

The square root of 675458064 is about 25989.5760642608. The cubic root of 675458064 is about 877.4037043379.

The spelling of 675458064 in words is "six hundred seventy-five million, four hundred fifty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1061 2122 3183 4244 4421 6366 8488 8842 9549 12732 13263 16976 17684 19098 25464 26526 35368 38196 39789 50928 53052 70736 76392 79578 106104 152784 159156 212208 318312 636624 4690681 9381362 14072043 18762724 28144086 37525448 42216129 56288172 75050896 84432258 112576344 168864516 225152688 337729032 675458064