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542642880 = 26351343481
BaseRepresentation
bin100000010110000…
…001001011000000
31101211002010002110
4200112001023000
52102404033010
6125502415320
716306250133
oct4026011300
91354063073
10542642880
1125934269a
12131891540
1388565880
14520d621a
153298d120
hex205812c0

542642880 has 112 divisors (see below), whose sum is σ = 1855463904. Its totient is φ = 133570560.

The previous prime is 542642857. The next prime is 542642899. The reversal of 542642880 is 88246245.

It is a super-2 number, since 2×5426428802 = 588922590429388800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9261 + ... + 34220.

It is an arithmetic number, because the mean of its divisors is an integer number (16566642).

Almost surely, 2542642880 is an apocalyptic number.

It is an amenable number.

542642880 is an abundant number, since it is smaller than the sum of its proper divisors (1312821024).

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

542642880 is a wasteful number, since it uses less digits than its factorization.

542642880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43514 (or 43504 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 542642880 is about 23294.6963920975. The cubic root of 542642880 is about 815.6516198355.

The spelling of 542642880 in words is "five hundred forty-two million, six hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 43481 86962 130443 173924 217405 260886 347848 434810 521772 565253 652215 695696 869620 1043544 1130506 1304430 1391392 1695759 1739240 2087088 2261012 2608860 2782784 2826265 3391518 3478480 4174176 4522024 5217720 5652530 6783036 6956960 8348352 8478795 9044048 10435440 11305060 13566072 13913920 16957590 18088096 20870880 22610120 27132144 33915180 36176192 41741760 45220240 54264288 67830360 90440480 108528576 135660720 180880960 271321440 542642880