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542310800 = 24521355777
BaseRepresentation
bin100000010100110…
…000000110010000
31101210110020120012
4200110300012100
52102312421200
6125451334052
716303365023
oct4024600620
91353406505
10542310800
11259136149
12131751328
138847a685
145204b1ba
1532924a35
hex20530190

542310800 has 30 divisors (see below), whose sum is σ = 1302902658. Its totient is φ = 216924160.

The previous prime is 542310799. The next prime is 542310809. The reversal of 542310800 is 8013245.

It can be written as a sum of positive squares in 3 ways, for example, as 120912016 + 421398784 = 10996^2 + 20528^2 .

It is not an unprimeable number, because it can be changed into a prime (542310809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 677489 + ... + 678288.

Almost surely, 2542310800 is an apocalyptic number.

542310800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542310800 is an abundant number, since it is smaller than the sum of its proper divisors (760591858).

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

542310800 is a wasteful number, since it uses less digits than its factorization.

542310800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355795 (or 1355784 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 542310800 is about 23287.5674985603. The cubic root of 542310800 is about 815.4852016923.

The spelling of 542310800 in words is "five hundred forty-two million, three hundred ten thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1355777 2711554 5423108 6778885 10846216 13557770 21692432 27115540 33894425 54231080 67788850 108462160 135577700 271155400 542310800