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546042240 = 27325472017
BaseRepresentation
bin100000100010111…
…111000110000000
31102001110211010200
4200202333012000
52104241322430
6130103325200
716350165612
oct4042770600
91361424120
10546042240
11260254687
12132a50800
1389185c23
145273cdb2
1532e10460
hex208bf180

546042240 has 192 divisors, whose sum is σ = 1926624960. Its totient is φ = 142442496.

The previous prime is 546042239. The next prime is 546042281. The reversal of 546042240 is 42240645.

546042240 is a `hidden beast` number, since 54 + 604 + 2 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 269712 + ... + 271728.

It is an arithmetic number, because the mean of its divisors is an integer number (10034505).

Almost surely, 2546042240 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 546042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963312480).

546042240 is an abundant number, since it is smaller than the sum of its proper divisors (1380582720).

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

546042240 is a wasteful number, since it uses less digits than its factorization.

546042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 546042240 is about 23367.5467261756. The cubic root of 546042240 is about 817.3512789528.

Adding to 546042240 its reverse (42240645), we get a palindrome (588282885).

The spelling of 546042240 in words is "five hundred forty-six million, forty-two thousand, two hundred forty".