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542330880 = 2123571397
BaseRepresentation
bin100000010100110…
…101000000000000
31101210111021002220
4200110311000000
52102314042010
6125452011040
716303510410
oct4024650000
91353437086
10542330880
1125914a243
12131760a80
1388486860
1452054640
153292a970
hex20535000

542330880 has 416 divisors, whose sum is σ = 2157705984. Its totient is φ = 113246208.

The previous prime is 542330861. The next prime is 542330911. The reversal of 542330880 is 88033245.

It is a tau number, because it is divible by the number of its divisors (416).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5590992 + ... + 5591088.

Almost surely, 2542330880 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 542330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078852992).

542330880 is an abundant number, since it is smaller than the sum of its proper divisors (1615375104).

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

542330880 is a wasteful number, since it uses less digits than its factorization.

542330880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 542330880 is about 23287.9986259017. The cubic root of 542330880 is about 815.4952664871.

The spelling of 542330880 in words is "five hundred forty-two million, three hundred thirty thousand, eight hundred eighty".