Search a number
-
+
520535808 = 2834131931
BaseRepresentation
bin11111000001101…
…011111100000000
31100021110221220000
4133001223330000
52031224121213
6123352520000
715620324052
oct3701537400
91307427800
10520535808
11247913291
121263b0000
1383ac5370
144d1bd8d2
1530a72c73
hex1f06bf00

520535808 has 180 divisors, whose sum is σ = 1672404888. Its totient is φ = 160081920.

The previous prime is 520535803. The next prime is 520535809. The reversal of 520535808 is 808535025.

520535808 is a `hidden beast` number, since 5 + 20 + 53 + 580 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520535803) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 268603 + ... + 270533.

Almost surely, 2520535808 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 520535808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836202444).

520535808 is an abundant number, since it is smaller than the sum of its proper divisors (1151869080).

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

520535808 is a wasteful number, since it uses less digits than its factorization.

520535808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 520535808 is about 22815.2538447417. The cubic root of 520535808 is about 804.4212539624.

The spelling of 520535808 in words is "five hundred twenty million, five hundred thirty-five thousand, eight hundred eight".