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542415460 = 225187714449
BaseRepresentation
bin100000010101001…
…001101001100100
31101210122120010111
4200111021221210
52102324243320
6125453502404
716304312116
oct4025115144
91353576114
10542415460
112591a7844
121317a1a04
13884b61c2
14520773b6
1532945a5a
hex20549a64

542415460 has 24 divisors (see below), whose sum is σ = 1139758200. Its totient is φ = 216835584.

The previous prime is 542415437. The next prime is 542415473. The reversal of 542415460 is 64514245.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 235745316 + 306670144 = 15354^2 + 17512^2 .

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 7 ways as a sum of consecutive naturals, for example, 30316 + ... + 44764.

It is an arithmetic number, because the mean of its divisors is an integer number (47489925).

Almost surely, 2542415460 is an apocalyptic number.

It is an amenable number.

542415460 is an abundant number, since it is smaller than the sum of its proper divisors (597342740).

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

542415460 is a wasteful number, since it uses less digits than its factorization.

542415460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16335 (or 16333 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 542415460 is about 23289.8145119277. The cubic root of 542415460 is about 815.5376581996.

The spelling of 542415460 in words is "five hundred forty-two million, four hundred fifteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 1877 3754 7508 9385 14449 18770 28898 37540 57796 72245 144490 288980 27120773 54241546 108483092 135603865 271207730 542415460