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85150856 = 23719191419
BaseRepresentation
bin1010001001101…
…00110010001000
312221020010000102
411010310302020
5133244311411
612241024532
72052525140
oct504646210
9187203012
1085150856
114407a10a
1224625148
1314844a2b
14b447920
15771ed3b
hex5134c88

85150856 has 64 divisors (see below), whose sum is σ = 193536000. Its totient is φ = 34309440.

The previous prime is 85150847. The next prime is 85150859. The reversal of 85150856 is 65805158.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (85150859) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203015 + ... + 203433.

It is an arithmetic number, because the mean of its divisors is an integer number (3024000).

Almost surely, 285150856 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 85150856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768000).

85150856 is an abundant number, since it is smaller than the sum of its proper divisors (108385144).

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

85150856 is a wasteful number, since it uses less digits than its factorization.

85150856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 38.

The square root of 85150856 is about 9227.7221457952. The cubic root of 85150856 is about 439.9429264815.

The spelling of 85150856 in words is "eighty-five million, one hundred fifty thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 191 266 382 419 532 764 838 1064 1337 1528 1676 2674 2933 3352 3629 5348 5866 7258 7961 10696 11732 14516 15922 23464 25403 29032 31844 50806 55727 63688 80029 101612 111454 160058 203224 222908 320116 445816 560203 640232 1120406 1520551 2240812 3041102 4481624 6082204 10643857 12164408 21287714 42575428 85150856