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85927776 = 2531181371
BaseRepresentation
bin1010001111100…
…10011101100000
312222200120202020
411013302131200
5133444142101
612305421440
72062242204
oct507623540
9188616666
1085927776
114455a8a0
122493a880
1314a5754c
14b5aab04
157825136
hex51f2760

85927776 has 48 divisors (see below), whose sum is σ = 246068928. Its totient is φ = 26038400.

The previous prime is 85927771. The next prime is 85927847. The reversal of 85927776 is 67772958.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85927771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39630 + ... + 41741.

It is an arithmetic number, because the mean of its divisors is an integer number (5126436).

Almost surely, 285927776 is an apocalyptic number.

It is an amenable number.

85927776 is an abundant number, since it is smaller than the sum of its proper divisors (160141152).

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

85927776 is a wasteful number, since it uses less digits than its factorization.

85927776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81395 (or 81387 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 51.

The square root of 85927776 is about 9269.7236204754. The cubic root of 85927776 is about 441.2768968723.

The spelling of 85927776 in words is "eighty-five million, nine hundred twenty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 81371 162742 244113 325484 488226 650968 895081 976452 1301936 1790162 1952904 2603872 2685243 3580324 3905808 5370486 7160648 7811616 10740972 14321296 21481944 28642592 42963888 85927776