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542003617 = 1900928513
BaseRepresentation
bin100000010011100…
…101000110100001
31101202212122012001
4200103211012201
52102223103432
6125441004001
716300645321
oct4023450641
91352778161
10542003617
11258a46381
12131623601
13883a08cc
1451dab281
15328b39e7
hex204e51a1

542003617 has 4 divisors (see below), whose sum is σ = 542051140. Its totient is φ = 541956096.

The previous prime is 542003593. The next prime is 542003621. The reversal of 542003617 is 716300245.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 716300245 = 5143260049.

It can be written as a sum of positive squares in 2 ways, for example, as 493017616 + 48986001 = 22204^2 + 6999^2 .

It is a 3-Lehmer number, since φ(542003617) divides (542003617-1)3.

It is a cyclic number.

It is not a de Polignac number, because 542003617 - 27 = 542003489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (542003687) 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 3 ways as a sum of consecutive naturals, for example, 4753 + ... + 33265.

It is an arithmetic number, because the mean of its divisors is an integer number (135512785).

Almost surely, 2542003617 is an apocalyptic number.

542003617 is the 19009-th pentagonal number.

It is an amenable number.

542003617 is a deficient number, since it is larger than the sum of its proper divisors (47523).

542003617 is a wasteful number, since it uses less digits than its factorization.

542003617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47522.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 542003617 is about 23280.9711352426. The cubic root of 542003617 is about 815.3311999013.

The spelling of 542003617 in words is "five hundred forty-two million, three thousand, six hundred seventeen".

Divisors: 1 19009 28513 542003617