Search a number
-
+
542378033 is a prime number
BaseRepresentation
bin100000010101000…
…000100000110001
31101210120122210022
4200111000200301
52102322044113
6125453013225
716304065031
oct4025004061
91353518708
10542378033
1125918170a
12131784215
13884a2162
14520678c1
1532939908
hex20540831

542378033 has 2 divisors, whose sum is σ = 542378034. Its totient is φ = 542378032.

The previous prime is 542377999. The next prime is 542378041. The reversal of 542378033 is 330873245.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 542330944 + 47089 = 23288^2 + 217^2 .

It is a cyclic number.

It is not a de Polignac number, because 542378033 - 210 = 542377009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 542377984 and 542378002.

It is not a weakly prime, because it can be changed into another prime (542371033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 271189016 + 271189017.

It is an arithmetic number, because the mean of its divisors is an integer number (271189017).

Almost surely, 2542378033 is an apocalyptic number.

542378033 is the 12449-th centered heptagonal number.

It is an amenable number.

542378033 is a deficient number, since it is larger than the sum of its proper divisors (1).

542378033 is an equidigital number, since it uses as much as digits as its factorization.

542378033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 542378033 is about 23289.0109923114. The cubic root of 542378033 is about 815.5189002350.

The spelling of 542378033 in words is "five hundred forty-two million, three hundred seventy-eight thousand, thirty-three".