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1052932872 = 233674091601
BaseRepresentation
bin111110110000100…
…111101100001000
32201101021112100210
4332300213230020
54124022322442
6252252001120
735043532065
oct7660475410
92641245323
101052932872
114a0398062
122547601a0
1313a1b1504
149dba9c6c
156268a19c
hex3ec27b08

1052932872 has 64 divisors (see below), whose sum is σ = 2679825600. Its totient is φ = 344678400.

The previous prime is 1052932871. The next prime is 1052932877. The reversal of 1052932872 is 2782392501.

1052932872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10529328722 = 2217335265876336768, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1052932872.

It is not an unprimeable number, because it can be changed into a prime (1052932871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 656872 + ... + 658472.

It is an arithmetic number, because the mean of its divisors is an integer number (41872275).

Almost surely, 21052932872 is an apocalyptic number.

1052932872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1052932872 is an abundant number, since it is smaller than the sum of its proper divisors (1626892728).

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

1052932872 is a wasteful number, since it uses less digits than its factorization.

1052932872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1052932872 is about 32448.9271317250. The cubic root of 1052932872 is about 1017.3418137134.

The spelling of 1052932872 in words is "one billion, fifty-two million, nine hundred thirty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 268 402 409 536 804 818 1227 1601 1608 1636 2454 3202 3272 4803 4908 6404 9606 9816 12808 19212 27403 38424 54806 82209 107267 109612 164418 214534 219224 321801 328836 429068 643602 654809 657672 858136 1287204 1309618 1964427 2574408 2619236 3928854 5238472 7857708 15715416 43872203 87744406 131616609 175488812 263233218 350977624 526466436 1052932872