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542005405 = 5181613977
BaseRepresentation
bin100000010011100…
…101100010011101
31101202212201122021
4200103211202131
52102223133110
6125441020141
716300653454
oct4023454235
91352781567
10542005405
11258a47757
12131624651
13883a1676
1451dabb9b
15328b42da
hex204e589d

542005405 has 16 divisors (see below), whose sum is σ = 655737264. Its totient is φ = 430064640.

The previous prime is 542005379. The next prime is 542005423. The reversal of 542005405 is 504500245.

It can be written as a sum of positive squares in 8 ways, for example, as 129549924 + 412455481 = 11382^2 + 20309^2 .

It is a de Polignac number, because none of the positive numbers 2k-542005405 is a prime.

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 542005405.

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 15 ways as a sum of consecutive naturals, for example, 554277 + ... + 555253.

It is an arithmetic number, because the mean of its divisors is an integer number (40983579).

Almost surely, 2542005405 is an apocalyptic number.

It is an amenable number.

542005405 is a deficient number, since it is larger than the sum of its proper divisors (113731859).

542005405 is a wasteful number, since it uses less digits than its factorization.

542005405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776.

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 542005405 is about 23281.0095356709. The cubic root of 542005405 is about 815.3320964578.

The spelling of 542005405 in words is "five hundred forty-two million, five thousand, four hundred five".

Divisors: 1 5 181 613 905 977 3065 4885 110953 176837 554765 598901 884185 2994505 108401081 542005405