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85311954 = 236713643
BaseRepresentation
bin1010001010111…
…00000111010010
312221112022000000
411011130013102
5133314440304
612244310430
72054065620
oct505340722
9187468000
1085311954
114417a152
12246a2416
13148a0160
14b48a510
157752939
hex515c1d2

85311954 has 112 divisors (see below), whose sum is σ = 236507712. Its totient is φ = 22464864.

The previous prime is 85311943. The next prime is 85312013. The reversal of 85311954 is 45911358.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 132357 + ... + 132999.

It is an arithmetic number, because the mean of its divisors is an integer number (2111676).

Almost surely, 285311954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85311954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118253856).

85311954 is an abundant number, since it is smaller than the sum of its proper divisors (151195758).

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

85311954 is a wasteful number, since it uses less digits than its factorization.

85311954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 668 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 85311954 is about 9236.4470441832. The cubic root of 85311954 is about 440.2201962591.

The spelling of 85311954 in words is "eighty-five million, three hundred eleven thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 243 273 351 378 486 546 567 643 702 729 819 1053 1134 1286 1458 1638 1701 1929 2106 2457 3159 3402 3858 4501 4914 5103 5787 6318 7371 8359 9002 9477 10206 11574 13503 14742 16718 17361 18954 22113 25077 27006 34722 40509 44226 50154 52083 58513 66339 75231 81018 104166 117026 121527 132678 150462 156249 175539 225693 243054 312498 351078 364581 451386 468747 526617 677079 729162 937494 1053234 1093743 1354158 1579851 2031237 2187486 3159702 3281229 4062474 4739553 6093711 6562458 9479106 12187422 14218659 28437318 42655977 85311954