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672314256 = 2434518761
BaseRepresentation
bin101000000100101…
…011001110010000
31201212002002210000
4220010223032100
52334103024011
6150414010000
722442401605
oct5004531620
91655062700
10672314256
1131555a719
121691a6900
13a93978b3
146540c6ac
153e054356
hex2812b390

672314256 has 50 divisors (see below), whose sum is σ = 1945876262. Its totient is φ = 224104320.

The previous prime is 672314239. The next prime is 672314257. The reversal of 672314256 is 652413276.

It can be written as a sum of positive squares in only one way, i.e., 671846400 + 467856 = 25920^2 + 684^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 672314256.

It is not an unprimeable number, because it can be changed into a prime (672314257) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 258085 + ... + 260676.

Almost surely, 2672314256 is an apocalyptic number.

It is an amenable number.

672314256 is an abundant number, since it is smaller than the sum of its proper divisors (1273562006).

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

672314256 is a wasteful number, since it uses less digits than its factorization.

672314256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518781 (or 518766 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 672314256 is about 25929.0234293542. The cubic root of 672314256 is about 876.0403434225.

The spelling of 672314256 in words is "six hundred seventy-two million, three hundred fourteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 518761 1037522 1556283 2075044 3112566 4150088 4668849 6225132 8300176 9337698 12450264 14006547 18675396 24900528 28013094 37350792 42019641 56026188 74701584 84039282 112052376 168078564 224104752 336157128 672314256