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85620568 = 231141743
BaseRepresentation
bin1010001101001…
…11011101011000
312222002222100011
411012213131120
5133404324233
612255051304
72056522435
oct506473530
9188088304
1085620568
1144370000
1224810b34
131497a777
14b52ab8c
1577b40cd
hex51a7758

85620568 has 80 divisors (see below), whose sum is σ = 191327400. Its totient is φ = 35777280.

The previous prime is 85620529. The next prime is 85620569. The reversal of 85620568 is 86502658.

It is a self number, because there is not a number n which added to its sum of digits gives 85620568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85620569) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1991155 + ... + 1991197.

Almost surely, 285620568 is an apocalyptic number.

85620568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85620568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95663700).

85620568 is an abundant number, since it is smaller than the sum of its proper divisors (105706832).

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

85620568 is a wasteful number, since it uses less digits than its factorization.

85620568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 85620568 is about 9253.1382784437. The cubic root of 85620568 is about 440.7503862131.

The spelling of 85620568 in words is "eighty-five million, six hundred twenty thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 17 22 34 43 44 68 86 88 121 136 172 187 242 344 374 473 484 731 748 946 968 1331 1462 1496 1892 2057 2662 2924 3784 4114 5203 5324 5848 8041 8228 10406 10648 14641 16082 16456 20812 22627 29282 32164 41624 45254 57233 58564 64328 88451 90508 114466 117128 176902 181016 228932 248897 353804 457864 497794 629563 707608 972961 995588 1259126 1945922 1991176 2518252 3891844 5036504 7783688 10702571 21405142 42810284 85620568