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85157886 = 231119591151
BaseRepresentation
bin1010001001101…
…10011111111110
312221020110122210
411010312133332
5133300023021
612241121250
72052554502
oct504663776
9187213583
1085157886
1144084420
1224629226
1314847ca8
14b44a302
157721e76
hex51367fe

85157886 has 64 divisors (see below), whose sum is σ = 199065600. Its totient is φ = 24012000.

The previous prime is 85157881. The next prime is 85157911. The reversal of 85157886 is 68875158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85157881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73411 + ... + 74561.

It is an arithmetic number, because the mean of its divisors is an integer number (3110400).

Almost surely, 285157886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85157886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99532800).

85157886 is an abundant number, since it is smaller than the sum of its proper divisors (113907714).

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

85157886 is a wasteful number, since it uses less digits than its factorization.

85157886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245.

The product of its digits is 537600, while the sum is 48.

The square root of 85157886 is about 9228.1030553413. The cubic root of 85157886 is about 439.9550332835.

The spelling of 85157886 in words is "eighty-five million, one hundred fifty-seven thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 11 19 22 33 38 57 59 66 114 118 177 209 354 418 627 649 1121 1151 1254 1298 1947 2242 2302 3363 3453 3894 6726 6906 12331 12661 21869 24662 25322 36993 37983 43738 65607 67909 73986 75966 131214 135818 203727 240559 407454 481118 721677 746999 1290271 1443354 1493998 2240997 2580542 3870813 4481994 7741626 14192981 28385962 42578943 85157886