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856706816 = 2871912503
BaseRepresentation
bin110011000100000…
…100111100000000
32012201001012211002
4303010010330000
53223304104231
6221002111132
730141613340
oct6304047400
92181035732
10856706816
113aa652569
121baaab4a8
13108648c14
1481acad20
15503290cb
hex33104f00

856706816 has 72 divisors (see below), whose sum is σ = 1965379584. Its totient is φ = 365091840.

The previous prime is 856706801. The next prime is 856706819. The reversal of 856706816 is 618607658.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856706819) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341021 + ... + 343523.

Almost surely, 2856706816 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 856706816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982689792).

856706816 is an abundant number, since it is smaller than the sum of its proper divisors (1108672768).

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

856706816 is a wasteful number, since it uses less digits than its factorization.

856706816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The square root of 856706816 is about 29269.5544209337. The cubic root of 856706816 is about 949.7531458337.

The spelling of 856706816 in words is "eight hundred fifty-six million, seven hundred six thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 191 224 256 382 448 764 896 1337 1528 1792 2503 2674 3056 5006 5348 6112 10012 10696 12224 17521 20024 21392 24448 35042 40048 42784 48896 70084 80096 85568 140168 160192 171136 280336 320384 342272 478073 560672 640768 956146 1121344 1912292 2242688 3346511 3824584 4485376 6693022 7649168 13386044 15298336 26772088 30596672 53544176 61193344 107088352 122386688 214176704 428353408 856706816