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85572560 = 2451762921
BaseRepresentation
bin1010001100110…
…11101111010000
312222000112111002
411012123233100
5133401310220
612254041132
72056232453
oct506335720
9188015432
1085572560
1144337a27
12247a91a8
1314961968
14b51749a
1577a4c75
hex519bbd0

85572560 has 40 divisors (see below), whose sum is σ = 210662856. Its totient is φ = 32215040.

The previous prime is 85572559. The next prime is 85572589. The reversal of 85572560 is 6527558.

It can be written as a sum of positive squares in 4 ways, for example, as 20866624 + 64705936 = 4568^2 + 8044^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30101 + ... + 32820.

Almost surely, 285572560 is an apocalyptic number.

85572560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85572560 is an abundant number, since it is smaller than the sum of its proper divisors (125090296).

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

85572560 is a wasteful number, since it uses less digits than its factorization.

85572560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62951 (or 62945 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 38.

The square root of 85572560 is about 9250.5437678009. The cubic root of 85572560 is about 440.6679936252.

The spelling of 85572560 in words is "eighty-five million, five hundred seventy-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 62921 125842 251684 314605 503368 629210 1006736 1069657 1258420 2139314 2516840 4278628 5033680 5348285 8557256 10696570 17114512 21393140 42786280 85572560