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85202844 = 22317597079
BaseRepresentation
bin1010001010000…
…01011110011100
312221022202022220
411011001132130
5133302442334
612242105340
72053132536
oct505013634
9187282286
1085202844
1144105181
122464b250
13148625ac
14b45c856
157730449
hex514179c

85202844 has 48 divisors (see below), whose sum is σ = 214099200. Its totient is φ = 26273536.

The previous prime is 85202837. The next prime is 85202851. The reversal of 85202844 is 44820258.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85202837) and next prime (85202851).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8497 + ... + 15575.

It is an arithmetic number, because the mean of its divisors is an integer number (4460400).

Almost surely, 285202844 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 85202844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107049600).

85202844 is an abundant number, since it is smaller than the sum of its proper divisors (128896356).

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

85202844 is a wasteful number, since it uses less digits than its factorization.

85202844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7162 (or 7160 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 85202844 is about 9230.5386625050. The cubic root of 85202844 is about 440.0324425114.

The spelling of 85202844 in words is "eighty-five million, two hundred two thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 59 68 102 118 177 204 236 354 708 1003 2006 3009 4012 6018 7079 12036 14158 21237 28316 42474 84948 120343 240686 361029 417661 481372 722058 835322 1252983 1444116 1670644 2505966 5011932 7100237 14200474 21300711 28400948 42601422 85202844