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1052063112 = 233433133257
BaseRepresentation
bin111110101101010…
…011010110001000
32201022122100021110
4332231103112020
54123312004422
6252221210320
735033250252
oct7655232610
92638570243
101052063112
1149a953651
122544009a0
13139c68669
149da20cd2
156256760c
hex3eb53588

1052063112 has 64 divisors (see below), whose sum is σ = 2700751680. Its totient is φ = 341332992.

The previous prime is 1052063099. The next prime is 1052063137. The reversal of 1052063112 is 2113602501.

It is a super-2 number, since 2×10520631122 = 2213673583262249088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321388 + ... + 324644.

It is an arithmetic number, because the mean of its divisors is an integer number (42199245).

Almost surely, 21052063112 is an apocalyptic number.

1052063112 is a gapful number since it is divisible by the number (12) 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 1052063112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350375840).

1052063112 is an abundant number, since it is smaller than the sum of its proper divisors (1648688568).

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

1052063112 is a wasteful number, since it uses less digits than its factorization.

1052063112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1052063112 is about 32435.5223790214. The cubic root of 1052063112 is about 1017.0616163749.

Adding to 1052063112 its reverse (2113602501), we get a palindrome (3165665613).

The spelling of 1052063112 in words is "one billion, fifty-two million, sixty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 313 344 516 626 939 1032 1252 1878 2504 3257 3756 6514 7512 9771 13028 13459 19542 26056 26918 39084 40377 53836 78168 80754 107672 140051 161508 280102 323016 420153 560204 840306 1019441 1120408 1680612 2038882 3058323 3361224 4077764 6116646 8155528 12233292 24466584 43835963 87671926 131507889 175343852 263015778 350687704 526031556 1052063112