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85059552 = 2532930553
BaseRepresentation
bin1010001000111…
…10011111100000
312221001110202210
411010132133200
5133233401202
612235042120
72051665014
oct504363740
9187043683
1085059552
1144017556
12245a0340
13148122c6
14b422544
157702c6c
hex511e7e0

85059552 has 48 divisors (see below), whose sum is σ = 230988240. Its totient is φ = 27374592.

The previous prime is 85059511. The next prime is 85059577. The reversal of 85059552 is 25595058.

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

It is a self number, because there is not a number n which added to its sum of digits gives 85059552.

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, 12493 + ... + 18060.

It is an arithmetic number, because the mean of its divisors is an integer number (4812255).

Almost surely, 285059552 is an apocalyptic number.

It is an amenable number.

85059552 is an abundant number, since it is smaller than the sum of its proper divisors (145928688).

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

85059552 is a wasteful number, since it uses less digits than its factorization.

85059552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30595 (or 30587 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 39.

The square root of 85059552 is about 9222.7735524624. The cubic root of 85059552 is about 439.7856255982.

The spelling of 85059552 in words is "eighty-five million, fifty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 30553 61106 91659 122212 183318 244424 366636 488848 733272 886037 977696 1466544 1772074 2658111 2933088 3544148 5316222 7088296 10632444 14176592 21264888 28353184 42529776 85059552