Search a number
-
+
86480394 = 23721131317
BaseRepresentation
bin1010010011110…
…01011000001010
320000201122210120
411021321120022
5134114333034
612325324110
72100033300
oct511713012
9200648716
1086480394
11448a8000
1224b66636
1314bbbc40
14b6b2270
1578d3c49
hex527960a

86480394 has 192 divisors, whose sum is σ = 252346752. Its totient is φ = 19514880.

The previous prime is 86480393. The next prime is 86480441. The reversal of 86480394 is 49308468.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (86480393) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5087074 + ... + 5087090.

It is an arithmetic number, because the mean of its divisors is an integer number (1314306).

Almost surely, 286480394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86480394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126173376).

86480394 is an abundant number, since it is smaller than the sum of its proper divisors (165866358).

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

86480394 is a wasteful number, since it uses less digits than its factorization.

86480394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 86480394 is about 9299.4835340464. The cubic root of 86480394 is about 442.2208549358.

The spelling of 86480394 in words is "eighty-six million, four hundred eighty thousand, three hundred ninety-four".