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537538560 = 2123513673
BaseRepresentation
bin100000000010100…
…011000000000000
31101110110210021120
4200002203000000
52100102213220
6125201152240
716215000546
oct4002430000
91343423246
10537538560
11256476749
1213002b680
1387499470
1451567d96
15322d0a40
hex200a3000

537538560 has 208 divisors, whose sum is σ = 1854966624. Its totient is φ = 132120576.

The previous prime is 537538531. The next prime is 537538579. The reversal of 537538560 is 65835735.

It is a tau number, because it is divible by the number of its divisors (208).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798384 + ... + 799056.

Almost surely, 2537538560 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 537538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927483312).

537538560 is an abundant number, since it is smaller than the sum of its proper divisors (1317428064).

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

537538560 is a wasteful number, since it uses less digits than its factorization.

537538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The square root of 537538560 is about 23184.8778301720. The cubic root of 537538560 is about 813.0861083828.

The spelling of 537538560 in words is "five hundred thirty-seven million, five hundred thirty-eight thousand, five hundred sixty".