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542456880 = 24357322891
BaseRepresentation
bin100000010101010…
…011110000110000
31101210201122221120
4200111103300300
52102332110010
6125454422240
716304543640
oct4025236060
91353648846
10542456880
11259225979
12131801980
13884cc004
1452088520
1532952e70
hex20553c30

542456880 has 80 divisors (see below), whose sum is σ = 1921853184. Its totient is φ = 123989760.

The previous prime is 542456851. The next prime is 542456881. The reversal of 542456880 is 88654245.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (542456881) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 159766 + ... + 163125.

Almost surely, 2542456880 is an apocalyptic number.

It is an amenable number.

542456880 is an abundant number, since it is smaller than the sum of its proper divisors (1379396304).

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

542456880 is a wasteful number, since it uses less digits than its factorization.

542456880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322914 (or 322908 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 542456880 is about 23290.7037248770. The cubic root of 542456880 is about 815.5584164022.

The spelling of 542456880 in words is "five hundred forty-two million, four hundred fifty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 322891 645782 968673 1291564 1614455 1937346 2260237 2583128 3228910 3874692 4520474 4843365 5166256 6457820 6780711 7749384 9040948 9686730 11301185 12915640 13561422 15498768 18081896 19373460 22602370 25831280 27122844 33903555 36163792 38746920 45204740 54245688 67807110 77493840 90409480 108491376 135614220 180818960 271228440 542456880