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85197252 = 22371079479
BaseRepresentation
bin1010001010000…
…00000111000100
312221022110122210
411011000013010
5133302303002
612242023420
72053110330
oct505000704
9187273583
1085197252
1144100a58
1224647b70
131485cb9a
14b45a7c0
15772d96c
hex51401c4

85197252 has 48 divisors (see below), whose sum is σ = 229340160. Its totient is φ = 24112032.

The previous prime is 85197227. The next prime is 85197257. The reversal of 85197252 is 25279158.

It is a self number, because there is not a number n which added to its sum of digits gives 85197252.

It is not an unprimeable number, because it can be changed into a prime (85197257) 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, 4249 + ... + 13727.

It is an arithmetic number, because the mean of its divisors is an integer number (4777920).

Almost surely, 285197252 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 85197252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114670080).

85197252 is an abundant number, since it is smaller than the sum of its proper divisors (144142908).

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

85197252 is a wasteful number, since it uses less digits than its factorization.

85197252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9600 (or 9598 counting only the distinct ones).

The product of its digits is 50400, while the sum is 39.

The square root of 85197252 is about 9230.2357499687. The cubic root of 85197252 is about 440.0228156213.

The spelling of 85197252 in words is "eighty-five million, one hundred ninety-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 642 749 1284 1498 2247 2996 4494 8988 9479 18958 28437 37916 56874 66353 113748 132706 199059 265412 398118 796236 1014253 2028506 3042759 4057012 6085518 7099771 12171036 14199542 21299313 28399084 42598626 85197252