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85484568 = 233131771227
BaseRepresentation
bin1010001100001…
…10010000011000
312221212001210010
411012012100120
5133341001233
612252121520
72055415101
oct506062030
9187761703
1085484568
1144287904
12247662a0
13149308b0
14b4d33a8
157788b63
hex5186418

85484568 has 128 divisors (see below), whose sum is σ = 248209920. Its totient is φ = 24299520.

The previous prime is 85484543. The next prime is 85484579. The reversal of 85484568 is 86548458.

It is a happy number.

It is a super-2 number, since 2×854845682 = 14615222732293248, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376471 + ... + 376697.

It is an arithmetic number, because the mean of its divisors is an integer number (1939140).

Almost surely, 285484568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85484568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124104960).

85484568 is an abundant number, since it is smaller than the sum of its proper divisors (162725352).

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

85484568 is a wasteful number, since it uses less digits than its factorization.

85484568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 333 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 48.

The square root of 85484568 is about 9245.7864998063. The cubic root of 85484568 is about 440.5168994106.

The spelling of 85484568 in words is "eighty-five million, four hundred eighty-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 71 78 102 104 136 142 156 204 213 221 227 284 312 408 426 442 454 568 663 681 852 884 908 923 1207 1326 1362 1704 1768 1816 1846 2414 2652 2724 2769 2951 3621 3692 3859 4828 5304 5448 5538 5902 7242 7384 7718 8853 9656 11076 11577 11804 14484 15436 15691 16117 17706 22152 23154 23608 28968 30872 31382 32234 35412 46308 47073 48351 50167 62764 64468 70824 92616 94146 96702 100334 125528 128936 150501 188292 193404 200668 209521 273989 301002 376584 386808 401336 419042 547978 602004 628563 821967 838084 1095956 1204008 1257126 1643934 1676168 2191912 2514252 3287868 3561857 5028504 6575736 7123714 10685571 14247428 21371142 28494856 42742284 85484568