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85573956 = 223134312757
BaseRepresentation
bin1010001100111…
…00000101000100
312222000121101210
411012130011010
5133401331311
612254051420
72056236516
oct506340504
9188017353
1085573956
1144338a86
12247a9b70
13149624a0
14b517bb6
1577a53a6
hex519c144

85573956 has 48 divisors (see below), whose sum is σ = 220049984. Its totient is φ = 25716096.

The previous prime is 85573951. The next prime is 85573979. The reversal of 85573956 is 65937558.

It is not an unprimeable number, because it can be changed into a prime (85573951) 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, 330 + ... + 13086.

Almost surely, 285573956 is an apocalyptic number.

85573956 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85573956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110024992).

85573956 is an abundant number, since it is smaller than the sum of its proper divisors (134476028).

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

85573956 is a wasteful number, since it uses less digits than its factorization.

85573956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12820 (or 12818 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 48.

The square root of 85573956 is about 9250.6192225169. The cubic root of 85573956 is about 440.6703899119.

The spelling of 85573956 in words is "eighty-five million, five hundred seventy-three thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 258 516 559 1118 1677 2236 3354 6708 12757 25514 38271 51028 76542 153084 165841 331682 497523 548551 663364 995046 1097102 1645653 1990092 2194204 3291306 6582612 7131163 14262326 21393489 28524652 42786978 85573956