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831264012 = 223341227827
BaseRepresentation
bin110001100011000…
…001010100001100
32010221011120212000
4301203001110030
53200300422022
6214252512300
726412425145
oct6143012414
92127146760
10831264012
11397254a57
121b247b690
131032ab2c7
147c586acc
154cea06ac
hex318c150c

831264012 has 96 divisors (see below), whose sum is σ = 2220099840. Its totient is φ = 268813440.

The previous prime is 831264001. The next prime is 831264023. The reversal of 831264012 is 210462138.

831264012 is a `hidden beast` number, since 8 + 3 + 1 + 2 + 640 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (831264001) and next prime (831264023).

It is a super-2 number, since 2×8312640122 = 1381999715292672288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1004743 + ... + 1005569.

It is an arithmetic number, because the mean of its divisors is an integer number (23126040).

Almost surely, 2831264012 is an apocalyptic number.

831264012 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 831264012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110049920).

831264012 is an abundant number, since it is smaller than the sum of its proper divisors (1388835828).

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

831264012 is a wasteful number, since it uses less digits than its factorization.

831264012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 831264012 is about 28831.6494845508. The cubic root of 831264012 is about 940.2564608818.

The spelling of 831264012 in words is "eight hundred thirty-one million, two hundred sixty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 227 246 369 454 492 681 738 827 908 1107 1362 1476 1654 2043 2214 2481 2724 3308 4086 4428 4962 6129 7443 8172 9307 9924 12258 14886 18614 22329 24516 27921 29772 33907 37228 44658 55842 67814 83763 89316 101721 111684 135628 167526 187729 203442 251289 305163 335052 375458 406884 502578 563187 610326 750916 915489 1005156 1126374 1220652 1689561 1830978 2252748 3379122 3661956 5068683 6758244 7696889 10137366 15393778 20274732 23090667 30787556 46181334 69272001 92362668 138544002 207816003 277088004 415632006 831264012