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85314672 = 2432592463
BaseRepresentation
bin1010001010111…
…00110001110000
312221112102201200
411011130301300
5133320032142
612244331200
72054106552
oct505346160
9187472650
1085314672
11441811a3
12246a3b00
13148a1471
14b48b4d2
15775364c
hex515cc70

85314672 has 30 divisors (see below), whose sum is σ = 238762992. Its totient is φ = 28438176.

The previous prime is 85314641. The next prime is 85314703. The reversal of 85314672 is 27641358.

It is an interprime number because it is at equal distance from previous prime (85314641) and next prime (85314703).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 296088 + ... + 296375.

Almost surely, 285314672 is an apocalyptic number.

It is an amenable number.

85314672 is an abundant number, since it is smaller than the sum of its proper divisors (153448320).

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

85314672 is a wasteful number, since it uses less digits than its factorization.

85314672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592477 (or 592468 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 85314672 is about 9236.5941775094. The cubic root of 85314672 is about 440.2248712811.

It can be divided in two parts, 8531 and 4672, that added together give a triangular number (13203 = T162).

The spelling of 85314672 in words is "eighty-five million, three hundred fourteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 592463 1184926 1777389 2369852 3554778 4739704 5332167 7109556 9479408 10664334 14219112 21328668 28438224 42657336 85314672