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961134856 = 231123796011
BaseRepresentation
bin111001010010011…
…100000100001000
32110222112201011021
4321102130010020
53432022303411
6235212242224
732550340303
oct7122340410
92428481137
10961134856
11453598930
12229a70374
13124180066
1491911b3a
15595a5a71
hex3949c108

961134856 has 64 divisors (see below), whose sum is σ = 2077747200. Its totient is φ = 412526400.

The previous prime is 961134841. The next prime is 961134917. The reversal of 961134856 is 658431169.

It is a super-2 number, since 2×9611348562 = 1847560422836281472, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 156891 + ... + 162901.

It is an arithmetic number, because the mean of its divisors is an integer number (32464800).

Almost surely, 2961134856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961134856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038873600).

961134856 is an abundant number, since it is smaller than the sum of its proper divisors (1116612344).

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

961134856 is a wasteful number, since it uses less digits than its factorization.

961134856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6130 (or 6126 counting only the distinct ones).

The product of its digits is 155520, while the sum is 43.

The square root of 961134856 is about 31002.1750204724. The cubic root of 961134856 is about 986.8733982650.

The spelling of 961134856 in words is "nine hundred sixty-one million, one hundred thirty-four thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 22 23 44 46 79 88 92 158 184 253 316 506 632 869 1012 1738 1817 2024 3476 3634 6011 6952 7268 12022 14536 19987 24044 39974 48088 66121 79948 132242 138253 159896 264484 276506 474869 528968 553012 949738 1106024 1520783 1899476 3041566 3798952 5223559 6083132 10447118 10921987 12166264 20894236 21843974 41788472 43687948 87375896 120141857 240283714 480567428 961134856