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537504912 = 243272174481
BaseRepresentation
bin100000000010011…
…010110010010000
31101110102002010100
4200002122302100
52100100124122
6125200332400
716214500500
oct4002326220
91343362110
10537504912
1125645343a
12130014100
1387487059
1451559a00
15322c5aac
hex2009ac90

537504912 has 180 divisors, whose sum is σ = 1853208396. Its totient is φ = 144506880.

The previous prime is 537504911. The next prime is 537504941. The reversal of 537504912 is 219405735.

It can be written as a sum of positive squares in 2 ways, for example, as 420086016 + 117418896 = 20496^2 + 10836^2 .

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

It is not an unprimeable number, because it can be changed into a prime (537504911) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117712 + ... + 122192.

Almost surely, 2537504912 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 537504912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926604198).

537504912 is an abundant number, since it is smaller than the sum of its proper divisors (1315703484).

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

537504912 is a wasteful number, since it uses less digits than its factorization.

537504912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4526 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 537504912 is about 23184.1521734136. The cubic root of 537504912 is about 813.0691425970.

The spelling of 537504912 in words is "five hundred thirty-seven million, five hundred four thousand, nine hundred twelve".