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85244096 = 2671791063
BaseRepresentation
bin1010001010010…
…11100011000000
312221101211220202
411011023203000
5133310302341
612243024332
72053364030
oct505134300
9187354822
1085244096
1144133173
122466b0a8
13148782c2
14b46d8c0
15773c79b
hex514b8c0

85244096 has 56 divisors (see below), whose sum is σ = 194584320. Its totient is φ = 36294912.

The previous prime is 85244083. The next prime is 85244099. The reversal of 85244096 is 69044258.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (85244099) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79661 + ... + 80723.

It is an arithmetic number, because the mean of its divisors is an integer number (3474720).

Almost surely, 285244096 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 85244096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97292160).

85244096 is an abundant number, since it is smaller than the sum of its proper divisors (109340224).

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

85244096 is a wasteful number, since it uses less digits than its factorization.

85244096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 85244096 is about 9232.7729312488. The cubic root of 85244096 is about 440.1034467515.

The spelling of 85244096 in words is "eighty-five million, two hundred forty-four thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 179 224 358 448 716 1063 1253 1432 2126 2506 2864 4252 5012 5728 7441 8504 10024 11456 14882 17008 20048 29764 34016 40096 59528 68032 80192 119056 190277 238112 380554 476224 761108 1331939 1522216 2663878 3044432 5327756 6088864 10655512 12177728 21311024 42622048 85244096