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542535444 = 2232112592111
BaseRepresentation
bin100000010101100…
…110111100010100
31101210212122201100
4200111212330110
52102342113234
6125500230100
716305321663
oct4025467424
91353778640
10542535444
11259279a00
1213183b330
13885289b9
14520a8dda
153296b399
hex20566f14

542535444 has 108 divisors (see below), whose sum is σ = 1533692160. Its totient is φ = 161541600.

The previous prime is 542535437. The next prime is 542535479. The reversal of 542535444 is 444535245.

542535444 = T185 + T186 + ... + T1482.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 542535399 and 542535408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 255949 + ... + 258059.

Almost surely, 2542535444 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 542535444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766846080).

542535444 is an abundant number, since it is smaller than the sum of its proper divisors (991156716).

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

542535444 is a wasteful number, since it uses less digits than its factorization.

542535444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2186 counting only the distinct ones).

The product of its digits is 192000, while the sum is 36.

The square root of 542535444 is about 23292.3902594817. The cubic root of 542535444 is about 815.5977869284.

The spelling of 542535444 in words is "five hundred forty-two million, five hundred thirty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 59 66 99 118 121 132 177 198 236 242 354 363 396 484 531 649 708 726 1062 1089 1298 1452 1947 2111 2124 2178 2596 3894 4222 4356 5841 6333 7139 7788 8444 11682 12666 14278 18999 21417 23221 23364 25332 28556 37998 42834 46442 64251 69663 75996 85668 92884 124549 128502 139326 208989 249098 255431 257004 278652 373647 417978 498196 510862 747294 766293 835956 1021724 1120941 1370039 1494588 1532586 2241882 2298879 2740078 3065172 4110117 4483764 4597758 5480156 8220234 9195516 12330351 15070429 16440468 24660702 30140858 45211287 49321404 60281716 90422574 135633861 180845148 271267722 542535444