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542418372 = 223237407221
BaseRepresentation
bin100000010101001…
…010010111000100
31101210122201010100
4200111022113010
52102324341442
6125453524100
716304323446
oct4025122704
91353581110
10542418372
112591a9a51
121317a3630
13884b7622
1452078496
153294684c
hex2054a5c4

542418372 has 36 divisors (see below), whose sum is σ = 1408173676. Its totient is φ = 175919040.

The previous prime is 542418367. The next prime is 542418451. The reversal of 542418372 is 273814245.

It is a happy number.

542418372 is a `hidden beast` number, since 542 + 41 + 8 + 3 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 229340736 + 313077636 = 15144^2 + 17694^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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 11 ways as a sum of consecutive naturals, for example, 202279 + ... + 204942.

Almost surely, 2542418372 is an apocalyptic number.

It is an amenable number.

542418372 is an abundant number, since it is smaller than the sum of its proper divisors (865755304).

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

542418372 is a wasteful number, since it uses less digits than its factorization.

542418372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407268 (or 407263 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 542418372 is about 23289.8770284431. The cubic root of 542418372 is about 815.5391176230.

The spelling of 542418372 in words is "five hundred forty-two million, four hundred eighteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 407221 814442 1221663 1628884 2443326 3664989 4886652 7329978 14659956 15067177 30134354 45201531 60268708 90403062 135604593 180806124 271209186 542418372