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86113776 = 24372194147
BaseRepresentation
bin1010010000111…
…11110111110000
320000001000220010
411020133313300
5134021120101
612313414520
72063645400
oct510376760
9200030803
1086113776
1144677611
1224a0a440
1314ac10c8
14b618800
1578602d6
hex521fdf0

86113776 has 240 divisors, whose sum is σ = 284981760. Its totient is φ = 22256640.

The previous prime is 86113751. The next prime is 86113799. The reversal of 86113776 is 67731168.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 1832185 + ... + 1832231.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 286113776 is an apocalyptic number.

86113776 is the 5358-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86113776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

86113776 is an abundant number, since it is smaller than the sum of its proper divisors (198867984).

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

86113776 is a wasteful number, since it uses less digits than its factorization.

86113776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 119 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 86113776 is about 9279.7508587246. The cubic root of 86113776 is about 441.5950646634.

It can be divided in two parts, 861 and 13776, that multiplied together give a square (11861136 = 34442).

The spelling of 86113776 in words is "eighty-six million, one hundred thirteen thousand, seven hundred seventy-six".