Search a number
-
+
542540413 = 4113796589
BaseRepresentation
bin100000010101101…
…000001001111101
31101210212220112101
4200111220021331
52102342243123
6125500305101
716305342322
oct4025501175
91353786471
10542540413
11259282708
12131842191
138852b03c
14520aab49
153296caad
hex2056827d

542540413 has 8 divisors (see below), whose sum is σ = 559835640. Its totient is φ = 525438720.

The previous prime is 542540407. The next prime is 542540419. The reversal of 542540413 is 314045245.

It is an interprime number because it is at equal distance from previous prime (542540407) and next prime (542540419).

It can be written as a sum of positive squares in 4 ways, for example, as 9253764 + 533286649 = 3042^2 + 23093^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 542540413 - 217 = 542409341 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542540419) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 42678 + ... + 53911.

It is an arithmetic number, because the mean of its divisors is an integer number (69979455).

Almost surely, 2542540413 is an apocalyptic number.

It is an amenable number.

542540413 is a deficient number, since it is larger than the sum of its proper divisors (17295227).

542540413 is a wasteful number, since it uses less digits than its factorization.

542540413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96767.

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 542540413 is about 23292.4969249756. The cubic root of 542540413 is about 815.6002768997.

Adding to 542540413 its reverse (314045245), we get a palindrome (856585658).

The spelling of 542540413 in words is "five hundred forty-two million, five hundred forty thousand, four hundred thirteen".

Divisors: 1 41 137 5617 96589 3960149 13232693 542540413