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85690944 = 2632314799
BaseRepresentation
bin1010001101110…
…00101001000000
312222020112212200
411012320221000
5133414102234
612300353200
72060234553
oct506705100
9188215780
1085690944
1144408969
1224845800
13149a3801
14b54869a
1577c9d99
hex51b8a40

85690944 has 84 divisors (see below), whose sum is σ = 253593600. Its totient is φ = 27636480.

The previous prime is 85690919. The next prime is 85690963. The reversal of 85690944 is 44909658.

It is a happy number.

It is a super-2 number, since 2×856909442 = 14685875767222272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85690944.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15457 + ... + 20255.

Almost surely, 285690944 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 85690944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126796800).

85690944 is an abundant number, since it is smaller than the sum of its proper divisors (167902656).

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

85690944 is a wasteful number, since it uses less digits than its factorization.

85690944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4848 (or 4835 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 85690944 is about 9256.9403152446. The cubic root of 85690944 is about 440.8711117011.

The spelling of 85690944 in words is "eighty-five million, six hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 4799 5952 8928 9598 14397 17856 19196 28794 38392 43191 57588 76784 86382 115176 148769 153568 172764 230352 297538 307136 345528 446307 460704 595076 691056 892614 921408 1190152 1338921 1382112 1785228 2380304 2677842 2764224 3570456 4760608 5355684 7140912 9521216 10711368 14281824 21422736 28563648 42845472 85690944