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86725296 = 24337217241
BaseRepresentation
bin1010010101101…
…01001010110000
320001012002202000
411022311022300
5134200202141
612334454000
72102103300
oct512651260
9201162660
1086725296
1144a54aa9
1225064300
1314c76558
14b737600
1579315b6
hex52b52b0

86725296 has 240 divisors, whose sum is σ = 307882080. Its totient is φ = 23224320.

The previous prime is 86725267. The next prime is 86725333. The reversal of 86725296 is 69252768.

Its product of digits (362880) is a multiple of the sum of its prime divisors (270).

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, 359736 + ... + 359976.

It is an arithmetic number, because the mean of its divisors is an integer number (1282842).

Almost surely, 286725296 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 86725296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153941040).

86725296 is an abundant number, since it is smaller than the sum of its proper divisors (221156784).

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

86725296 is a wasteful number, since it uses less digits than its factorization.

86725296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 270 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 86725296 is about 9312.6417304651. The cubic root of 86725296 is about 442.6379001403.

The spelling of 86725296 in words is "eighty-six million, seven hundred twenty-five thousand, two hundred ninety-six".