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961800864 = 25355717987
BaseRepresentation
bin111001010100111…
…110101010100000
32111000210112202020
4321110332222200
53432210111424
6235234421440
732556113103
oct7124765240
92430715666
10961800864
11453a03252
1222a131880
1312435424b
1491a4673a
1559688079
hex3953eaa0

961800864 has 48 divisors (see below), whose sum is σ = 2529400608. Its totient is φ = 320006912.

The previous prime is 961800841. The next prime is 961800871. The reversal of 961800864 is 468008169.

961800864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×9618008642 = 1850121803982292992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44479 + ... + 62465.

It is an arithmetic number, because the mean of its divisors is an integer number (52695846).

Almost surely, 2961800864 is an apocalyptic number.

It is an amenable number.

961800864 is an abundant number, since it is smaller than the sum of its proper divisors (1567599744).

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

961800864 is a wasteful number, since it uses less digits than its factorization.

961800864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18557 (or 18549 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 961800864 is about 31012.9144712328. The cubic root of 961800864 is about 987.1012933820.

The spelling of 961800864 in words is "nine hundred sixty-one million, eight hundred thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 557 1114 1671 2228 3342 4456 6684 8912 13368 17824 17987 26736 35974 53472 53961 71948 107922 143896 215844 287792 431688 575584 863376 1726752 10018759 20037518 30056277 40075036 60112554 80150072 120225108 160300144 240450216 320600288 480900432 961800864