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85070944 = 2573112251
BaseRepresentation
bin1010001001000…
…01010001100000
312221002001101201
411010201101200
5133234232234
612235210544
72052043150
oct504412140
9187061351
1085070944
1144025072
12245a6a54
131481754a
14b426760
157706314
hex5121460

85070944 has 48 divisors (see below), whose sum is σ = 197600256. Its totient is φ = 35280000.

The previous prime is 85070929. The next prime is 85070959. The reversal of 85070944 is 44907058.

It is an interprime number because it is at equal distance from previous prime (85070929) and next prime (85070959).

It is a super-2 number, since 2×850709442 = 14474131026102272, which contains 22 as substring.

It is a congruent number.

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, 819 + ... + 13069.

It is an arithmetic number, because the mean of its divisors is an integer number (4116672).

Almost surely, 285070944 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 85070944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98800128).

85070944 is an abundant number, since it is smaller than the sum of its proper divisors (112529312).

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

85070944 is a wasteful number, since it uses less digits than its factorization.

85070944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12299 (or 12291 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 85070944 is about 9223.3911334173. The cubic root of 85070944 is about 439.8052581736.

The spelling of 85070944 in words is "eighty-five million, seventy thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 12251 24502 49004 85757 98008 171514 196016 343028 379781 392032 686056 759562 1372112 1519124 2658467 2744224 3038248 5316934 6076496 10633868 12152992 21267736 42535472 85070944