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542511431 = 71159119417
BaseRepresentation
bin100000010101100…
…001000101000111
31101210211102202222
4200111201011013
52102340331211
6125455522555
716305161660
oct4025410507
91353742688
10542511431
11259262960
1213182945b
138851aaa7
14520a0367
15329641db
hex20561147

542511431 has 16 divisors (see below), whose sum is σ = 687847680. Its totient is φ = 415567680.

The previous prime is 542511401. The next prime is 542511443. The reversal of 542511431 is 134115245.

It is a de Polignac number, because none of the positive numbers 2k-542511431 is a prime.

It is a super-2 number, since 2×5425114312 = 588637305531335522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 542511431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542511401) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 55166 + ... + 64251.

It is an arithmetic number, because the mean of its divisors is an integer number (42990480).

Almost surely, 2542511431 is an apocalyptic number.

542511431 is a deficient number, since it is larger than the sum of its proper divisors (145336249).

542511431 is a wasteful number, since it uses less digits than its factorization.

542511431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119494.

The product of its digits is 2400, while the sum is 26.

The square root of 542511431 is about 23291.8747849974. The cubic root of 542511431 is about 815.5857537738.

Adding to 542511431 its reverse (134115245), we get a palindrome (676626676).

The spelling of 542511431 in words is "five hundred forty-two million, five hundred eleven thousand, four hundred thirty-one".

Divisors: 1 7 11 59 77 413 649 4543 119417 835919 1313587 7045603 9195109 49319221 77501633 542511431