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85786352 = 24171392269
BaseRepresentation
bin1010001110011…
…11111011110000
312222102101202022
411013033323300
5133430130402
612302411012
72061112661
oct507177360
9188371668
1085786352
1144473613
1224890a68
1314a08072
14b571368
1577e82a2
hex51cfef0

85786352 has 40 divisors (see below), whose sum is σ = 177332400. Its totient is φ = 40061952.

The previous prime is 85786319. The next prime is 85786357. The reversal of 85786352 is 25368758.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85786357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36674 + ... + 38942.

It is an arithmetic number, because the mean of its divisors is an integer number (4433310).

Almost surely, 285786352 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 85786352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88666200).

85786352 is an abundant number, since it is smaller than the sum of its proper divisors (91546048).

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

85786352 is a wasteful number, since it uses less digits than its factorization.

85786352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433 (or 2427 counting only the distinct ones).

The product of its digits is 403200, while the sum is 44.

The square root of 85786352 is about 9262.0922042485. The cubic root of 85786352 is about 441.0346724692.

The spelling of 85786352 in words is "eighty-five million, seven hundred eighty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 34 68 136 139 272 278 556 1112 2224 2269 2363 4538 4726 9076 9452 18152 18904 36304 37808 38573 77146 154292 308584 315391 617168 630782 1261564 2523128 5046256 5361647 10723294 21446588 42893176 85786352