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85252650 = 2352731657
BaseRepresentation
bin1010001010011…
…01101000101010
312221102021122120
411011031220222
5133311041100
612243132110
72053431000
oct505155052
9187367576
1085252650
114413963a
1224674036
131487c172
14b472a70
1577400a0
hex514da2a

85252650 has 96 divisors (see below), whose sum is σ = 246710400. Its totient is φ = 19474560.

The previous prime is 85252649. The next prime is 85252667. The reversal of 85252650 is 5625258.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50622 + ... + 52278.

It is an arithmetic number, because the mean of its divisors is an integer number (2569900).

Almost surely, 285252650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85252650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123355200).

85252650 is an abundant number, since it is smaller than the sum of its proper divisors (161457750).

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

85252650 is a wasteful number, since it uses less digits than its factorization.

85252650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 85252650 is about 9233.2361607402. The cubic root of 85252650 is about 440.1181672977.

It can be divided in two parts, 8525 and 2650, that added together give a triangular number (11175 = T149).

The spelling of 85252650 in words is "eighty-five million, two hundred fifty-two thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 343 350 490 525 686 735 1029 1050 1225 1470 1657 1715 2058 2450 3314 3430 3675 4971 5145 7350 8285 8575 9942 10290 11599 16570 17150 23198 24855 25725 34797 41425 49710 51450 57995 69594 81193 82850 115990 124275 162386 173985 243579 248550 289975 347970 405965 487158 568351 579950 811930 869925 1136702 1217895 1705053 1739850 2029825 2435790 2841755 3410106 4059650 5683510 6089475 8525265 12178950 14208775 17050530 28417550 42626325 85252650