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520805376 = 2103571323
BaseRepresentation
bin11111000010101…
…101110000000000
31100021222122200000
4133002231300000
52031311233001
6123402400000
715622526010
oct3702556000
91307878600
10520805376
11247a87873
12126500000
1383b8ac80
144d24dc40
1530ac7a86
hex1f0adc00

520805376 has 528 divisors, whose sum is σ = 2002850304. Its totient is φ = 131383296.

The previous prime is 520805359. The next prime is 520805407. The reversal of 520805376 is 673508025.

520805376 is a `hidden beast` number, since 520 + 80 + 53 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 520805376.

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, 22643701 + ... + 22643723.

Almost surely, 2520805376 is an apocalyptic number.

520805376 is a gapful number since it is divisible by the number (56) 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 520805376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001425152).

520805376 is an abundant number, since it is smaller than the sum of its proper divisors (1482044928).

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

520805376 is a wasteful number, since it uses less digits than its factorization.

520805376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 520805376 is about 22821.1607066775. The cubic root of 520805376 is about 804.5600909092.

The spelling of 520805376 in words is "five hundred twenty million, eight hundred five thousand, three hundred seventy-six".