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542645792 = 251373107167
BaseRepresentation
bin100000010110000…
…001111000100000
31101211002021002022
4200112001320200
52102404131132
6125502441012
716306261463
oct4026017040
91354067068
10542645792
112593448a7
12131893168
1388566cb0
14520d72da
153298de12
hex20581e20

542645792 has 96 divisors (see below), whose sum is σ = 1184222592. Its totient is φ = 243247104.

The previous prime is 542645773. The next prime is 542645819. The reversal of 542645792 is 297546245.

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, 3249293 + ... + 3249459.

It is an arithmetic number, because the mean of its divisors is an integer number (12335652).

Almost surely, 2542645792 is an apocalyptic number.

542645792 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542645792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592111296).

542645792 is an abundant number, since it is smaller than the sum of its proper divisors (641576800).

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

542645792 is a wasteful number, since it uses less digits than its factorization.

542645792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 362 counting only the distinct ones).

The product of its digits is 604800, while the sum is 44.

The square root of 542645792 is about 23294.7588955112. The cubic root of 542645792 is about 815.6530788511.

The spelling of 542645792 in words is "five hundred forty-two million, six hundred forty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 73 104 107 146 167 208 214 292 334 416 428 584 668 856 949 1168 1336 1391 1712 1898 2171 2336 2672 2782 3424 3796 4342 5344 5564 7592 7811 8684 11128 12191 15184 15622 17368 17869 22256 24382 30368 31244 34736 35738 44512 48764 62488 69472 71476 97528 101543 124976 142952 158483 195056 203086 232297 249952 285904 316966 390112 406172 464594 571808 633932 812344 929188 1267864 1304437 1624688 1858376 2535728 2608874 3249376 3716752 5071456 5217748 7433504 10435496 16957681 20870992 33915362 41741984 67830724 135661448 271322896 542645792