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537557472 = 25342371127
BaseRepresentation
bin100000000010100…
…111100111100000
31101110111202020000
4200002213213200
52100103314342
6125201420000
716215106644
oct4002474740
91343452200
10537557472
11256489981
1213003a600
13874a4c5a
1451570c24
15322d644c
hex200a79e0

537557472 has 240 divisors, whose sum is σ = 1686085632. Its totient is φ = 167650560.

The previous prime is 537557417. The next prime is 537557507. The reversal of 537557472 is 274755735.

537557472 is a `hidden beast` number, since 5 + 3 + 7 + 5 + 574 + 72 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4232673 + ... + 4232799.

Almost surely, 2537557472 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 537557472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843042816).

537557472 is an abundant number, since it is smaller than the sum of its proper divisors (1148528160).

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

537557472 is a wasteful number, since it uses less digits than its factorization.

537557472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 226 counting only the distinct ones).

The product of its digits is 1029000, while the sum is 45.

The square root of 537557472 is about 23185.2856786368. The cubic root of 537557472 is about 813.0956437633.

It can be divided in two parts, 537 and 557472, that added together give a square (558009 = 7472).

The spelling of 537557472 in words is "five hundred thirty-seven million, five hundred fifty-seven thousand, four hundred seventy-two".