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86398488 = 233411172331
BaseRepresentation
bin1010010011001…
…01011000011000
320000120111110000
411021211120120
5134104222423
612323453000
72066242431
oct511453030
9200514400
1086398488
1144851510
1224b27160
1314b90887
14b690488
1578b9843
hex5265618

86398488 has 320 divisors, whose sum is σ = 301086720. Its totient is φ = 22809600.

The previous prime is 86398483. The next prime is 86398553. The reversal of 86398488 is 88489368.

It is a super-2 number, since 2×863984882 = 14929397457372288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86398483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2787033 + ... + 2787063.

It is an arithmetic number, because the mean of its divisors is an integer number (940896).

Almost surely, 286398488 is an apocalyptic number.

86398488 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 86398488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150543360).

86398488 is an abundant number, since it is smaller than the sum of its proper divisors (214688232).

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

86398488 is a wasteful number, since it uses less digits than its factorization.

86398488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 87 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 86398488 is about 9295.0786978917. The cubic root of 86398488 is about 442.0812009998.

The spelling of 86398488 in words is "eighty-six million, three hundred ninety-eight thousand, four hundred eighty-eight".