Search a number
-
+
542444436 = 223215067901
BaseRepresentation
bin100000010101010…
…000101110010100
31101210201000212200
4200111100232110
52102331210221
6125454244500
716304462442
oct4025205624
91353630780
10542444436
11259217596
121317b6730
13884c6451
1452083b92
153294e426
hex20550b94

542444436 has 18 divisors (see below), whose sum is σ = 1371179082. Its totient is φ = 180814800.

The previous prime is 542444429. The next prime is 542444459. The reversal of 542444436 is 634444245.

542444436 is a `hidden beast` number, since 542 + 44 + 44 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 540283536 + 2160900 = 23244^2 + 1470^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×5424444362 = 588491932294716192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 15067901 = 542444436 / (5 + 4 + 2 + 4 + 4 + 4 + 4 + 3 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 542444436.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 7533915 + ... + 7533986.

Almost surely, 2542444436 is an apocalyptic number.

It is an amenable number.

542444436 is an abundant number, since it is smaller than the sum of its proper divisors (828734646).

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

542444436 is a wasteful number, since it uses less digits than its factorization.

542444436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15067911 (or 15067906 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

The square root of 542444436 is about 23290.4365781322. The cubic root of 542444436 is about 815.5521800315.

The spelling of 542444436 in words is "five hundred forty-two million, four hundred forty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 15067901 30135802 45203703 60271604 90407406 135611109 180814812 271222218 542444436