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540032904 = 23327500457
BaseRepresentation
bin100000001100000…
…011111110001000
31101122011111212200
4200030003332020
52101222023104
6125330440200
716245126645
oct4014037610
91348144780
10540032904
1125791a794
12130a33060
1387b608c8
1451a16dcc
1532624b39
hex20303f88

540032904 has 24 divisors (see below), whose sum is σ = 1462589310. Its totient is φ = 180010944.

The previous prime is 540032881. The next prime is 540032917. The reversal of 540032904 is 409230045.

540032904 is a `hidden beast` number, since 540 + 0 + 32 + 90 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 470976804 + 69056100 = 21702^2 + 8310^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 3750157 + ... + 3750300.

Almost surely, 2540032904 is an apocalyptic number.

It is an amenable number.

540032904 is an abundant number, since it is smaller than the sum of its proper divisors (922556406).

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

540032904 is a wasteful number, since it uses less digits than its factorization.

540032904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7500469 (or 7500462 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 540032904 is about 23238.6080478156. The cubic root of 540032904 is about 814.3418244939.

Adding to 540032904 its reverse (409230045), we get a palindrome (949262949).

The spelling of 540032904 in words is "five hundred forty million, thirty-two thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 7500457 15000914 22501371 30001828 45002742 60003656 67504113 90005484 135008226 180010968 270016452 540032904