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870861056 = 2813220129
BaseRepresentation
bin110011111010000…
…100100100000000
32020200200022210012
4303322010210000
53240420023211
6222225324052
730403124342
oct6372044400
92220608705
10870861056
1140763a88a
12203796628
1310b563600
1483933292
15516c2d8b
hex33e84900

870861056 has 54 divisors (see below), whose sum is σ = 1882416690. Its totient is φ = 401915904.

The previous prime is 870861049. The next prime is 870861077. The reversal of 870861056 is 650168078.

It can be written as a sum of positive squares in 3 ways, for example, as 46022656 + 824838400 = 6784^2 + 28720^2 .

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 5 ways as a sum of consecutive naturals, for example, 33200 + ... + 53328.

Almost surely, 2870861056 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 870861056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941208345).

870861056 is an abundant number, since it is smaller than the sum of its proper divisors (1011555634).

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

870861056 is a wasteful number, since it uses less digits than its factorization.

870861056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20171 (or 20144 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 870861056 is about 29510.3550639432. The cubic root of 870861056 is about 954.9551091350.

The spelling of 870861056 in words is "eight hundred seventy million, eight hundred sixty-one thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2704 3328 5408 10816 20129 21632 40258 43264 80516 161032 261677 322064 523354 644128 1046708 1288256 2093416 2576512 3401801 4186832 5153024 6803602 8373664 13607204 16747328 27214408 33494656 54428816 66989312 108857632 217715264 435430528 870861056