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542693024 = 25431812179
BaseRepresentation
bin100000010110001…
…101011010100000
31101211011122212122
4200112031122200
52102412134044
6125503443412
716306546256
oct4026153240
91354148778
10542693024
11259377335
121318b6568
1388582643
145210a5d6
153299cdee
hex2058d6a0

542693024 has 48 divisors (see below), whose sum is σ = 1099818720. Its totient is φ = 263450880.

The previous prime is 542693017. The next prime is 542693051. The reversal of 542693024 is 420396245.

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 7 ways as a sum of consecutive naturals, for example, 247967 + ... + 250145.

It is an arithmetic number, because the mean of its divisors is an integer number (22912890).

Almost surely, 2542693024 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 542693024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549909360).

542693024 is an abundant number, since it is smaller than the sum of its proper divisors (557125696).

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

542693024 is a wasteful number, since it uses less digits than its factorization.

542693024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 542693024 is about 23295.7726637259. The cubic root of 542693024 is about 815.6767430345.

The spelling of 542693024 in words is "five hundred forty-two million, six hundred ninety-three thousand, twenty-four".

Divisors: 1 2 4 8 16 32 43 86 172 181 344 362 688 724 1376 1448 2179 2896 4358 5792 7783 8716 15566 17432 31132 34864 62264 69728 93697 124528 187394 249056 374788 394399 749576 788798 1499152 1577596 2998304 3155192 6310384 12620768 16959157 33918314 67836628 135673256 271346512 542693024