Search a number
-
+
542577645 = 32512057281
BaseRepresentation
bin100000010101110…
…001001111101101
31101210221210121100
4200111301033231
52102344441040
6125501153313
716305556011
oct4025611755
91353853540
10542577645
112592a8685
1213185b839
1388541c7c
14520ba541
1532978b30
hex205713ed

542577645 has 12 divisors (see below), whose sum is σ = 940467996. Its totient is φ = 289374720.

The previous prime is 542577631. The next prime is 542577647. The reversal of 542577645 is 546775245.

542577645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 306740196 + 235837449 = 17514^2 + 15357^2 .

It is not a de Polignac number, because 542577645 - 228 = 274142189 is a prime.

It is a super-3 number, since 3×5425776453 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 12057281 = 542577645 / (5 + 4 + 2 + 5 + 7 + 7 + 6 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 542577645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542577647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6028596 + ... + 6028685.

It is an arithmetic number, because the mean of its divisors is an integer number (78372333).

Almost surely, 2542577645 is an apocalyptic number.

It is an amenable number.

542577645 is a deficient number, since it is larger than the sum of its proper divisors (397890351).

542577645 is a wasteful number, since it uses less digits than its factorization.

542577645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12057292 (or 12057289 counting only the distinct ones).

The product of its digits is 1176000, while the sum is 45.

The square root of 542577645 is about 23293.2961385889. The cubic root of 542577645 is about 815.6189334115.

The spelling of 542577645 in words is "five hundred forty-two million, five hundred seventy-seven thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 12057281 36171843 60286405 108515529 180859215 542577645