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85799604 = 22311976701
BaseRepresentation
bin1010001110100…
…11001010110100
312222110001221010
411013103022310
5133431041404
612302552220
72061166422
oct507231264
9188401833
1085799604
1144482570
1224898670
1314a110c7
14b576112
1577ec189
hex51d32b4

85799604 has 48 divisors (see below), whose sum is σ = 220683456. Its totient is φ = 25728000.

The previous prime is 85799579. The next prime is 85799617. The reversal of 85799604 is 40699758.

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 15 ways as a sum of consecutive naturals, for example, 9454 + ... + 16154.

It is an arithmetic number, because the mean of its divisors is an integer number (4597572).

Almost surely, 285799604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85799604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110341728).

85799604 is an abundant number, since it is smaller than the sum of its proper divisors (134883852).

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

85799604 is a wasteful number, since it uses less digits than its factorization.

85799604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6816 (or 6814 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 85799604 is about 9262.8075657438. The cubic root of 85799604 is about 441.0573811730.

The spelling of 85799604 in words is "eighty-five million, seven hundred ninety-nine thousand, six hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 291 388 582 1067 1164 2134 3201 4268 6402 6701 12804 13402 20103 26804 40206 73711 80412 147422 221133 294844 442266 649997 884532 1299994 1949991 2599988 3899982 7149967 7799964 14299934 21449901 28599868 42899802 85799604