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542418880 = 26510915551
BaseRepresentation
bin100000010101001…
…010011111000000
31101210122201211011
4200111022133000
52102324401010
6125453530304
716304325103
oct4025123700
91353581734
10542418880
112591aa373
121317a3994
13884b7923
145207873a
1532946a8a
hex2054a7c0

542418880 has 56 divisors (see below), whose sum is σ = 1303568640. Its totient is φ = 214963200.

The previous prime is 542418857. The next prime is 542418883. The reversal of 542418880 is 88814245.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542418883) 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 7 ways as a sum of consecutive naturals, for example, 27105 + ... + 42655.

Almost surely, 2542418880 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 542418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651784320).

542418880 is an abundant number, since it is smaller than the sum of its proper divisors (761149760).

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

542418880 is a wasteful number, since it uses less digits than its factorization.

542418880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15677 (or 15667 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 40.

The square root of 542418880 is about 23289.8879344663. The cubic root of 542418880 is about 815.5393722197.

The spelling of 542418880 in words is "five hundred forty-two million, four hundred eighteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 160 218 320 436 545 872 1090 1744 2180 3488 4360 6976 8720 15551 17440 31102 34880 62204 77755 124408 155510 248816 311020 497632 622040 995264 1244080 1695059 2488160 3390118 4976320 6780236 8475295 13560472 16950590 27120944 33901180 54241888 67802360 108483776 135604720 271209440 542418880