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857809056 = 25313897723
BaseRepresentation
bin110011001000010…
…010000010100000
32012210010012210210
4303020102002200
53224044342211
6221041454120
730154154016
oct6310220240
92183105723
10857809056
11400235705
121bb341340
13108943830
1481cd68b6
15504959a6
hex332120a0

857809056 has 96 divisors (see below), whose sum is σ = 2452524480. Its totient is φ = 260941824.

The previous prime is 857809033. The next prime is 857809061. The reversal of 857809056 is 650908758.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×8578090562 = 1471672753111222272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 857808996 and 857809014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107211 + ... + 114933.

It is an arithmetic number, because the mean of its divisors is an integer number (25547130).

Almost surely, 2857809056 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 857809056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226262240).

857809056 is an abundant number, since it is smaller than the sum of its proper divisors (1594715424).

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

857809056 is a wasteful number, since it uses less digits than its factorization.

857809056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7838 (or 7830 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The square root of 857809056 is about 29288.3774900557. The cubic root of 857809056 is about 950.1602891125.

The spelling of 857809056 in words is "eight hundred fifty-seven million, eight hundred nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 89 96 104 156 178 208 267 312 356 416 534 624 712 1068 1157 1248 1424 2136 2314 2848 3471 4272 4628 6942 7723 8544 9256 13884 15446 18512 23169 27768 30892 37024 46338 55536 61784 92676 100399 111072 123568 185352 200798 247136 301197 370704 401596 602394 687347 741408 803192 1204788 1374694 1606384 2062041 2409576 2749388 3212768 4124082 4819152 5498776 8248164 8935511 9638304 10997552 16496328 17871022 21995104 26806533 32992656 35742044 53613066 65985312 71484088 107226132 142968176 214452264 285936352 428904528 857809056