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969412900 = 225270113829
BaseRepresentation
bin111001110010000…
…001000100100100
32111120010021111111
4321302001010210
53441132203100
6240105514404
733010605451
oct7162010444
92446107444
10969412900
11458232295
122307a2a04
13125abac01
1492a68828
155a18d6ba
hex39c81124

969412900 has 36 divisors (see below), whose sum is σ = 2106779220. Its totient is φ = 387184000.

The previous prime is 969412867. The next prime is 969412907. The reversal of 969412900 is 9214969.

It can be written as a sum of positive squares in 6 ways, for example, as 16826404 + 952586496 = 4102^2 + 30864^2 .

It is a super-2 number, since 2×9694129002 = 1879522741372820000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (969412907) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 63186 + ... + 77014.

It is an arithmetic number, because the mean of its divisors is an integer number (58521645).

Almost surely, 2969412900 is an apocalyptic number.

It is an amenable number.

969412900 is an abundant number, since it is smaller than the sum of its proper divisors (1137366320).

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

969412900 is a wasteful number, since it uses less digits than its factorization.

969412900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14544 (or 14537 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 969412900 is about 31135.3962557087. The cubic root of 969412900 is about 989.6985444095.

The spelling of 969412900 in words is "nine hundred sixty-nine million, four hundred twelve thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 701 1402 2804 3505 7010 13829 14020 17525 27658 35050 55316 69145 70100 138290 276580 345725 691450 1382900 9694129 19388258 38776516 48470645 96941290 193882580 242353225 484706450 969412900