Search a number
-
+
542543736 = 233711328579
BaseRepresentation
bin100000010101101…
…000111101111000
31101210220002002110
4200111220331320
52102342344421
6125500332320
716305355110
oct4025507570
91353802073
10542543736
11259285159
121318440a0
138852c6c7
14520ac040
153296da76
hex20568f78

542543736 has 64 divisors (see below), whose sum is σ = 1563897600. Its totient is φ = 153635328.

The previous prime is 542543723. The next prime is 542543759. The reversal of 542543736 is 637345245.

It is a junction number, because it is equal to n+sod(n) for n = 542543694 and 542543703.

It is a congruent number.

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, 4695 + ... + 33273.

It is an arithmetic number, because the mean of its divisors is an integer number (24435900).

Almost surely, 2542543736 is an apocalyptic number.

542543736 is a gapful number since it is divisible by the number (56) 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 542543736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781948800).

542543736 is an abundant number, since it is smaller than the sum of its proper divisors (1021353864).

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

542543736 is a wasteful number, since it uses less digits than its factorization.

542543736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28708 (or 28704 counting only the distinct ones).

The product of its digits is 302400, while the sum is 39.

The square root of 542543736 is about 23292.5682568497. The cubic root of 542543736 is about 815.6019420501.

The spelling of 542543736 in words is "five hundred forty-two million, five hundred forty-three thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 168 226 339 452 678 791 904 1356 1582 2373 2712 3164 4746 6328 9492 18984 28579 57158 85737 114316 171474 200053 228632 342948 400106 600159 685896 800212 1200318 1600424 2400636 3229427 4801272 6458854 9688281 12917708 19376562 22605989 25835416 38753124 45211978 67817967 77506248 90423956 135635934 180847912 271271868 542543736