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85262976 = 273324671
BaseRepresentation
bin1010001010100…
…00001010000000
312221102210211000
411011100022000
5133311403401
612243252000
72053503051
oct505201200
9187383730
1085262976
1144146377
122467a000
1314883a86
14b476728
157743186
hex5150280

85262976 has 64 divisors (see below), whose sum is σ = 251654400. Its totient is φ = 28419840.

The previous prime is 85262959. The next prime is 85262981. The reversal of 85262976 is 67926258.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8880 + ... + 15791.

It is an arithmetic number, because the mean of its divisors is an integer number (3932100).

Almost surely, 285262976 is an apocalyptic number.

It is an amenable number.

85262976 is an abundant number, since it is smaller than the sum of its proper divisors (166391424).

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

85262976 is a wasteful number, since it uses less digits than its factorization.

85262976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24694 (or 24676 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 85262976 is about 9233.7953193690. The cubic root of 85262976 is about 440.1359359603.

The spelling of 85262976 in words is "eighty-five million, two hundred sixty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 24671 49342 74013 98684 148026 197368 222039 296052 394736 444078 592104 666117 789472 888156 1184208 1332234 1578944 1776312 2368416 2664468 3157888 3552624 4736832 5328936 7105248 9473664 10657872 14210496 21315744 28420992 42631488 85262976