Search a number
-
+
542725680 = 243571731613
BaseRepresentation
bin100000010110010…
…101011000110000
31101211020022200010
4200112111120300
52102414210210
6125504254520
716310043420
oct4026253060
91354208603
10542725680
11259399922
12131911440
1388594473
1452118480
15329a7920
hex20595630

542725680 has 320 divisors, whose sum is σ = 2105008128. Its totient is φ = 112803840.

The previous prime is 542725669. The next prime is 542725699. The reversal of 542725680 is 86527245.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 885054 + ... + 885666.

Almost surely, 2542725680 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 542725680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052504064).

542725680 is an abundant number, since it is smaller than the sum of its proper divisors (1562282448).

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

542725680 is a wasteful number, since it uses less digits than its factorization.

542725680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 542725680 is about 23296.4735528792. The cubic root of 542725680 is about 815.6931035454.

The spelling of 542725680 in words is "five hundred forty-two million, seven hundred twenty-five thousand, six hundred eighty".