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86982096 = 243612487
BaseRepresentation
bin1010010111100…
…11110111010000
320001200011000010
411023303313100
5134231411341
612344154520
72104223055
oct513636720
9201604003
1086982096
114510aa33
1225168a40
13150363c6
14b7a302c
157982716
hex52f3dd0

86982096 has 60 divisors (see below), whose sum is σ = 228916896. Its totient is φ = 28460160.

The previous prime is 86982073. The next prime is 86982097. The reversal of 86982096 is 69028968.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86982097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178365 + ... + 178851.

Almost surely, 286982096 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 86982096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114458448).

86982096 is an abundant number, since it is smaller than the sum of its proper divisors (141934800).

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

86982096 is a wasteful number, since it uses less digits than its factorization.

86982096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 86982096 is about 9326.4192485648. The cubic root of 86982096 is about 443.0743641160.

The spelling of 86982096 in words is "eighty-six million, nine hundred eighty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 487 488 732 974 976 1461 1464 1948 2922 2928 3721 3896 5844 7442 7792 11163 11688 14884 22326 23376 29707 29768 44652 59414 59536 89121 89304 118828 178242 178608 237656 356484 475312 712968 1425936 1812127 3624254 5436381 7248508 10872762 14497016 21745524 28994032 43491048 86982096