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518465080 = 23573233153
BaseRepresentation
bin11110111001110…
…010011000111000
31100010120202101101
4132321302120320
52030211340310
6123240301144
715563611000
oct3671623070
91303522341
10518465080
11246729541
121257717b4
138354b993
144cc01000
15307b443a
hex1ee72638

518465080 has 256 divisors, whose sum is σ = 1492992000. Its totient is φ = 161441280.

The previous prime is 518465041. The next prime is 518465083. The reversal of 518465080 is 80564815.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (518465083) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9782334 + ... + 9782386.

It is an arithmetic number, because the mean of its divisors is an integer number (5832000).

Almost surely, 2518465080 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 518465080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746496000).

518465080 is an abundant number, since it is smaller than the sum of its proper divisors (974526920).

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

518465080 is a wasteful number, since it uses less digits than its factorization.

518465080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 518465080 is about 22769.8282821808. The cubic root of 518465080 is about 803.3531549701.

The spelling of 518465080 in words is "five hundred eighteen million, four hundred sixty-five thousand, eighty".