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85256550 = 236522339
BaseRepresentation
bin1010001010011…
…10100101100110
312221102111000000
411011032211212
5133311202200
612243202130
72053445241
oct505164546
9187374000
1085256550
1144141565
1224676346
1314880b82
14b474258
157741300
hex514e966

85256550 has 84 divisors (see below), whose sum is σ = 237858660. Its totient is φ = 22725360.

The previous prime is 85256537. The next prime is 85256557. The reversal of 85256550 is 5565258.

85256550 is a `hidden beast` number, since 8 + 52 + 56 + 550 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85256557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 35281 + ... + 37619.

Almost surely, 285256550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85256550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118929330).

85256550 is an abundant number, since it is smaller than the sum of its proper divisors (152602110).

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

85256550 is a wasteful number, since it uses less digits than its factorization.

85256550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 85256550 is about 9233.4473518833. The cubic root of 85256550 is about 440.1248784661.

The spelling of 85256550 in words is "eighty-five million, two hundred fifty-six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 729 810 1215 1350 1458 2025 2339 2430 3645 4050 4678 6075 7017 7290 11695 12150 14034 18225 21051 23390 35085 36450 42102 58475 63153 70170 105255 116950 126306 175425 189459 210510 315765 350850 378918 526275 568377 631530 947295 1052550 1136754 1578825 1705131 1894590 2841885 3157650 3410262 4736475 5683770 8525655 9472950 14209425 17051310 28418850 42628275 85256550