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85725144 = 23324327689
BaseRepresentation
bin1010001110000…
…00111111011000
312222022021210100
411013000333120
5133421201034
612301215400
72060436351
oct507007730
9188267710
1085725144
114443162a
1224861560
13149b624b
14b556d28
1577d5099
hex51c0fd8

85725144 has 48 divisors (see below), whose sum is σ = 237580200. Its totient is φ = 27909504.

The previous prime is 85725119. The next prime is 85725161. The reversal of 85725144 is 44152758.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85725099 and 85725108.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10749 + ... + 16940.

Almost surely, 285725144 is an apocalyptic number.

It is an amenable number.

85725144 is an abundant number, since it is smaller than the sum of its proper divisors (151855056).

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

85725144 is a wasteful number, since it uses less digits than its factorization.

85725144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27744 (or 27737 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 85725144 is about 9258.7873936061. The cubic root of 85725144 is about 440.9297557299.

The spelling of 85725144 in words is "eighty-five million, seven hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 27689 55378 83067 110756 166134 221512 249201 332268 498402 664536 996804 1190627 1993608 2381254 3571881 4762508 7143762 9525016 10715643 14287524 21431286 28575048 42862572 85725144