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831681864 = 233313296183
BaseRepresentation
bin110001100100100…
…111010101001000
32010221221211001000
4301210213111020
53200402304424
6214305455000
726416115316
oct6144472510
92127854030
10831681864
1139750a992
121b2641460
131033c6560
147c6550b6
154d0343c9
hex31927548

831681864 has 64 divisors (see below), whose sum is σ = 2487945600. Its totient is φ = 255901248.

The previous prime is 831681847. The next prime is 831681887. The reversal of 831681864 is 468186138.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 145284 + ... + 150899.

It is an arithmetic number, because the mean of its divisors is an integer number (38874150).

Almost surely, 2831681864 is an apocalyptic number.

It is an amenable number.

831681864 is an abundant number, since it is smaller than the sum of its proper divisors (1656263736).

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

831681864 is a wasteful number, since it uses less digits than its factorization.

831681864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296211 (or 296201 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 831681864 is about 28838.8949857653. The cubic root of 831681864 is about 940.4139809253.

The spelling of 831681864 in words is "eight hundred thirty-one million, six hundred eighty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 296183 592366 888549 1184732 1777098 2369464 2665647 3554196 3850379 5331294 7108392 7700758 7996941 10662588 11551137 15401516 15993882 21325176 23102274 30803032 31987764 34653411 46204548 63975528 69306822 92409096 103960233 138613644 207920466 277227288 415840932 831681864