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85703808 = 273832689
BaseRepresentation
bin1010001101110…
…11110010000000
312222021012112010
411012323302000
5133420010213
612300532520
72060320221
oct506736200
9188235463
1085703808
11444175a3
1224851140
13149a9618
14b54d248
1577cdac3
hex51bbc80

85703808 has 64 divisors (see below), whose sum is σ = 230479200. Its totient is φ = 28213248.

The previous prime is 85703789. The next prime is 85703831. The reversal of 85703808 is 80830758.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30528 + ... + 33216.

Almost surely, 285703808 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 85703808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115239600).

85703808 is an abundant number, since it is smaller than the sum of its proper divisors (144775392).

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

85703808 is a wasteful number, since it uses less digits than its factorization.

85703808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 85703808 is about 9257.6351191868. The cubic root of 85703808 is about 440.8931719171.

The spelling of 85703808 in words is "eighty-five million, seven hundred three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 332 384 498 664 996 1328 1992 2656 2689 3984 5312 5378 7968 8067 10624 10756 15936 16134 21512 31872 32268 43024 64536 86048 129072 172096 223187 258144 344192 446374 516288 669561 892748 1032576 1339122 1785496 2678244 3570992 5356488 7141984 10712976 14283968 21425952 28567936 42851904 85703808