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85640958 = 232131392633
BaseRepresentation
bin1010001101011…
…00011011111110
312222011000022100
411012230123332
5133411002313
612255325530
72056636044
oct506543376
9188130270
1085640958
1144384357
12248208a6
1314986b30
14b534394
1577ba173
hex51ac6fe

85640958 has 48 divisors (see below), whose sum is σ = 201342960. Its totient is φ = 26151552.

The previous prime is 85640911. The next prime is 85640959. The reversal of 85640958 is 85904658.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85640959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31210 + ... + 33842.

It is an arithmetic number, because the mean of its divisors is an integer number (4194645).

Almost surely, 285640958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85640958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100671480).

85640958 is an abundant number, since it is smaller than the sum of its proper divisors (115702002).

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

85640958 is a wasteful number, since it uses less digits than its factorization.

85640958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 85640958 is about 9254.2400012103. The cubic root of 85640958 is about 440.7853707473.

It can be divided in two parts, 856 and 40958, that added together give a palindrome (41814).

The spelling of 85640958 in words is "eighty-five million, six hundred forty thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 139 234 278 417 834 1251 1807 2502 2633 3614 5266 5421 7899 10842 15798 16263 23697 32526 34229 47394 68458 102687 205374 308061 365987 616122 731974 1097961 2195922 3293883 4757831 6587766 9515662 14273493 28546986 42820479 85640958