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85775328 = 253399277
BaseRepresentation
bin1010001110011…
…01001111100000
312222101211122000
411013031033200
5133424302303
612302244000
72061035562
oct507151740
9188354560
1085775328
1144466301
1224886600
1314a03042
14b56b332
1577e4da3
hex51cd3e0

85775328 has 48 divisors (see below), whose sum is σ = 250180560. Its totient is φ = 28591488.

The previous prime is 85775317. The next prime is 85775341. The reversal of 85775328 is 82357758.

85775328 is a `hidden beast` number, since 8 + 577 + 53 + 28 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 48775 + ... + 50502.

It is an arithmetic number, because the mean of its divisors is an integer number (5212095).

Almost surely, 285775328 is an apocalyptic number.

It is an amenable number.

85775328 is an abundant number, since it is smaller than the sum of its proper divisors (164405232).

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

85775328 is a wasteful number, since it uses less digits than its factorization.

85775328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99296 (or 99282 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 85775328 is about 9261.4970712083. The cubic root of 85775328 is about 441.0157798972.

The spelling of 85775328 in words is "eighty-five million, seven hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 99277 198554 297831 397108 595662 794216 893493 1191324 1588432 1786986 2382648 2680479 3176864 3573972 4765296 5360958 7147944 9530592 10721916 14295888 21443832 28591776 42887664 85775328