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683064264 = 23341216931
BaseRepresentation
bin101000101101101…
…011101111001000
31202121022021000110
4220231223233020
52344331024024
6151440234320
722632644001
oct5055535710
91677267013
10683064264
11320632323
1217090b9a0
13ab68c94c
1466a0a1a8
153ee79629
hex28b6bbc8

683064264 has 48 divisors (see below), whose sum is σ = 1750430160. Its totient is φ = 222121600.

The previous prime is 683064253. The next prime is 683064287. The reversal of 683064264 is 462460386.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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, 31879 + ... + 48809.

It is an arithmetic number, because the mean of its divisors is an integer number (36467295).

Almost surely, 2683064264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 683064264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875215080).

683064264 is an abundant number, since it is smaller than the sum of its proper divisors (1067365896).

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

683064264 is a wasteful number, since it uses less digits than its factorization.

683064264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17022 (or 16977 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 683064264 is about 26135.4981586347. The cubic root of 683064264 is about 880.6848422414.

The spelling of 683064264 in words is "six hundred eighty-three million, sixty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 1681 3362 5043 6724 10086 13448 16931 20172 33862 40344 50793 67724 101586 135448 203172 406344 694171 1388342 2082513 2776684 4165026 5553368 8330052 16660104 28461011 56922022 85383033 113844044 170766066 227688088 341532132 683064264