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86798460 = 223571973149
BaseRepresentation
bin1010010110001…
…11000001111100
320001022211002210
411023013001330
5134210022320
612340220420
72102526510
oct513070174
9201284083
1086798460
1144aa4a71
122509a710
1314ca0948
14b756140
1579480e0
hex52c707c

86798460 has 192 divisors, whose sum is σ = 298368000. Its totient is φ = 18413568.

The previous prime is 86798443. The next prime is 86798473. The reversal of 86798460 is 6489768.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 582466 + ... + 582614.

It is an arithmetic number, because the mean of its divisors is an integer number (1554000).

Almost surely, 286798460 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 86798460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149184000).

86798460 is an abundant number, since it is smaller than the sum of its proper divisors (211569540).

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

86798460 is a wasteful number, since it uses less digits than its factorization.

86798460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 86798460 is about 9316.5691109979. The cubic root of 86798460 is about 442.7623392527.

The spelling of 86798460 in words is "eighty-six million, seven hundred ninety-eight thousand, four hundred sixty".