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8961056 = 251321657
BaseRepresentation
bin100010001011…
…110000100000
3121212021020222
4202023300200
54243223211
6520022212
7136111346
oct42136040
917767228
108961056
115070635
123001968
131b19a00
141293996
15bc01db
hex88bc20

8961056 has 36 divisors (see below), whose sum is σ = 19115082. Its totient is φ = 4133376.

The previous prime is 8961047. The next prime is 8961061. The reversal of 8961056 is 6501698.

It can be written as a sum of positive squares in 3 ways, for example, as 3671056 + 5290000 = 1916^2 + 2300^2 .

It is an alternating number because its digits alternate between even and odd.

8961056 is a modest number, since divided by 1056 gives 896 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4580 + ... + 6236.

Almost surely, 28961056 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 8961056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9557541).

8961056 is an abundant number, since it is smaller than the sum of its proper divisors (10154026).

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

8961056 is a wasteful number, since it uses less digits than its factorization.

8961056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 8961056 is about 2993.5022966418. The cubic root of 8961056 is about 207.7079233871.

The spelling of 8961056 in words is "eight million, nine hundred sixty-one thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 1657 2704 3314 5408 6628 13256 21541 26512 43082 53024 86164 172328 280033 344656 560066 689312 1120132 2240264 4480528 8961056