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85757532 = 22373132933
BaseRepresentation
bin1010001110010…
…00111001011100
312222100221012220
411013020321130
5133423220112
612302025340
72060632650
oct507107134
9188327186
1085757532
11444539a3
1224878250
13149c7c03
14b564a60
1577de98c
hex51c8e5c

85757532 has 48 divisors (see below), whose sum is σ = 236070912. Its totient is φ = 23711040.

The previous prime is 85757531. The next prime is 85757533. The reversal of 85757532 is 23575758.

It is an interprime number because it is at equal distance from previous prime (85757531) and next prime (85757533).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85757531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13863 + ... + 19070.

It is an arithmetic number, because the mean of its divisors is an integer number (4918144).

Almost surely, 285757532 is an apocalyptic number.

It is an amenable number.

85757532 is an abundant number, since it is smaller than the sum of its proper divisors (150313380).

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

85757532 is a wasteful number, since it uses less digits than its factorization.

85757532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32978 (or 32976 counting only the distinct ones).

The product of its digits is 294000, while the sum is 42.

The square root of 85757532 is about 9260.5362695688. The cubic root of 85757532 is about 440.9852782761.

The spelling of 85757532 in words is "eighty-five million, seven hundred fifty-seven thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 2604 32933 65866 98799 131732 197598 230531 395196 461062 691593 922124 1020923 1383186 2041846 2766372 3062769 4083692 6125538 7146461 12251076 14292922 21439383 28585844 42878766 85757532