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520416936 = 2332134171191
BaseRepresentation
bin11111000001001…
…110111010101000
31100021020220211100
4133001032322220
52031211320221
6123350201400
715616320354
oct3701167250
91307226740
10520416936
11247841a46
12126353260
1383a83220
144d18c464
1530a4c926
hex1f04eea8

520416936 has 192 divisors, whose sum is σ = 1585059840. Its totient is φ = 153216000.

The previous prime is 520416887. The next prime is 520416961. The reversal of 520416936 is 639614025.

It is a happy number.

520416936 is a `hidden beast` number, since 520 + 41 + 6 + 93 + 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 520416936.

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, 2724601 + ... + 2724791.

It is an arithmetic number, because the mean of its divisors is an integer number (8255520).

Almost surely, 2520416936 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 520416936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920).

520416936 is an abundant number, since it is smaller than the sum of its proper divisors (1064642904).

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

520416936 is a wasteful number, since it uses less digits than its factorization.

520416936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 520416936 is about 22812.6485967763. The cubic root of 520416936 is about 804.3600154963.

The spelling of 520416936 in words is "five hundred twenty million, four hundred sixteen thousand, nine hundred thirty-six".