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85253910 = 23572913999
BaseRepresentation
bin1010001010011…
…01111100010110
312221102100101020
411011031330112
5133311111120
612243142010
72053434450
oct505157426
9187370336
1085253910
114413a585
1224674906
131487c901
14b4732d0
157740640
hex514df16

85253910 has 64 divisors (see below), whose sum is σ = 241920000. Its totient is φ = 18813312.

The previous prime is 85253899. The next prime is 85253921. The reversal of 85253910 is 1935258.

It is an interprime number because it is at equal distance from previous prime (85253899) and next prime (85253921).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910 + ... + 13089.

It is an arithmetic number, because the mean of its divisors is an integer number (3780000).

Almost surely, 285253910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85253910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960000).

85253910 is an abundant number, since it is smaller than the sum of its proper divisors (156666090).

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

85253910 is a wasteful number, since it uses less digits than its factorization.

85253910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14045.

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 85253910 is about 9233.3043922531. The cubic root of 85253910 is about 440.1203355437.

It can be divided in two parts, 852 and 53910, that multiplied together give a triangular number (45931320 = T9584).

The spelling of 85253910 in words is "eighty-five million, two hundred fifty-three thousand, nine hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 870 1015 1218 2030 3045 6090 13999 27998 41997 69995 83994 97993 139990 195986 209985 293979 405971 419970 489965 587958 811942 979930 1217913 1469895 2029855 2435826 2841797 2939790 4059710 5683594 6089565 8525391 12179130 14208985 17050782 28417970 42626955 85253910