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85998528 = 26327211277
BaseRepresentation
bin1010010000000…
…11101111000000
312222211011210200
411020003233000
5134003423103
612311125200
72062655400
oct510035700
9188734720
1085998528
11445a8a70
1224973800
1314a80805
14b5c8800
15783b0a3
hex5203bc0

85998528 has 252 divisors, whose sum is σ = 313940952. Its totient is φ = 22256640.

The previous prime is 85998499. The next prime is 85998533. The reversal of 85998528 is 82589958.

It is a tau number, because it is divible by the number of its divisors (252).

Its product of digits (2073600) is a multiple of the sum of its prime divisors (300).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 310326 + ... + 310602.

Almost surely, 285998528 is an apocalyptic number.

85998528 is a gapful number since it is divisible by the number (88) 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 85998528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156970476).

85998528 is an abundant number, since it is smaller than the sum of its proper divisors (227942424).

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

85998528 is a wasteful number, since it uses less digits than its factorization.

85998528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 300 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The square root of 85998528 is about 9273.5391302350. The cubic root of 85998528 is about 441.3979778518.

The spelling of 85998528 in words is "eighty-five million, nine hundred ninety-eight thousand, five hundred twenty-eight".