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520785936 = 243811241
BaseRepresentation
bin11111000010101…
…001000000010000
31100021221200000000
4133002221000100
52031310122221
6123402130000
715622415226
oct3702510020
91307850000
10520785936
11247a74200
121264b0900
1383b82178
144d246b16
1530ac1e26
hex1f0a9010

520785936 has 270 divisors, whose sum is σ = 1704126606. Its totient is φ = 153964800.

The previous prime is 520785931. The next prime is 520785959. The reversal of 520785936 is 639587025.

It is a happy number.

520785936 is a `hidden beast` number, since 52 + 0 + 7 + 8 + 593 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 317552400 + 203233536 = 17820^2 + 14256^2 .

It is a super-2 number, since 2×5207859362 = 542435982270792192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 520785891 and 520785900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520785931) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 12702076 + ... + 12702116.

Almost surely, 2520785936 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 520785936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852063303).

520785936 is an abundant number, since it is smaller than the sum of its proper divisors (1183340670).

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

520785936 is an equidigital number, since it uses as much as digits as its factorization.

520785936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 520785936 is about 22820.7347822107. The cubic root of 520785936 is about 804.5500802325.

The spelling of 520785936 in words is "five hundred twenty million, seven hundred eighty-five thousand, nine hundred thirty-six".