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542338900 = 22527374293
BaseRepresentation
bin100000010100110…
…110111101010100
31101210111200002221
4200110312331110
52102314321100
6125452112124
716303542655
oct4024667524
91353450087
10542338900
11259155274
12131765644
138848a3bc
145205752c
153292d01a
hex20536f54

542338900 has 36 divisors (see below), whose sum is σ = 1193013052. Its totient is φ = 213960960.

The previous prime is 542338897. The next prime is 542338943. The reversal of 542338900 is 9833245.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 103184964 + 439153936 = 10158^2 + 20956^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29847 + ... + 44446.

Almost surely, 2542338900 is an apocalyptic number.

542338900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

542338900 is an abundant number, since it is smaller than the sum of its proper divisors (650674152).

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

542338900 is a wasteful number, since it uses less digits than its factorization.

542338900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74380 (or 74373 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 542338900 is about 23288.1708169620. The cubic root of 542338900 is about 815.4992863208.

The spelling of 542338900 in words is "five hundred forty-two million, three hundred thirty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 365 730 1460 1825 3650 7300 74293 148586 297172 371465 742930 1485860 1857325 3714650 5423389 7429300 10846778 21693556 27116945 54233890 108467780 135584725 271169450 542338900