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85112448 = 273297643
BaseRepresentation
bin1010001001010…
…11011010000000
312221011011022220
411010223122000
5133242044243
612240131040
72052305151
oct504533200
9187134286
1085112448
1144053273
1224606a80
13148303c5
14b437928
157713783
hex512b680

85112448 has 64 divisors (see below), whose sum is σ = 233906400. Its totient is φ = 27388928.

The previous prime is 85112431. The next prime is 85112473. The reversal of 85112448 is 84421158.

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, 7315 + ... + 14957.

Almost surely, 285112448 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 85112448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116953200).

85112448 is an abundant number, since it is smaller than the sum of its proper divisors (148793952).

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

85112448 is a wasteful number, since it uses less digits than its factorization.

85112448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7689 (or 7677 counting only the distinct ones).

The product of its digits is 10240, while the sum is 33.

The square root of 85112448 is about 9225.6407907527. The cubic root of 85112448 is about 439.8767698981.

The spelling of 85112448 in words is "eighty-five million, one hundred twelve thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 3712 5568 7643 11136 15286 22929 30572 45858 61144 91716 122288 183432 221647 244576 366864 443294 489152 664941 733728 886588 978304 1329882 1467456 1773176 2659764 2934912 3546352 5319528 7092704 10639056 14185408 21278112 28370816 42556224 85112448