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542141253 = 32157383681
BaseRepresentation
bin100000010100000…
…110101101000101
31101210010121222200
4200110012231011
52102242010003
6125443545113
716302060513
oct4024065505
91353117880
10542141253
1125902a825
1213168b199
138841b454
14520054b3
15328de6a3
hex20506b45

542141253 has 12 divisors (see below), whose sum is σ = 788082828. Its totient is φ = 359124480.

The previous prime is 542141251. The next prime is 542141261. The reversal of 542141253 is 352141245.

It can be written as a sum of positive squares in 2 ways, for example, as 367028964 + 175112289 = 19158^2 + 13233^2 .

It is not a de Polignac number, because 542141253 - 21 = 542141251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542141251) 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 11 ways as a sum of consecutive naturals, for example, 190428 + ... + 193253.

It is an arithmetic number, because the mean of its divisors is an integer number (65673569).

Almost surely, 2542141253 is an apocalyptic number.

It is an amenable number.

542141253 is a deficient number, since it is larger than the sum of its proper divisors (245941575).

542141253 is a wasteful number, since it uses less digits than its factorization.

542141253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383844 (or 383841 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 542141253 is about 23283.9269239534. The cubic root of 542141253 is about 815.4002089288.

Adding to 542141253 its reverse (352141245), we get a palindrome (894282498).

The spelling of 542141253 in words is "five hundred forty-two million, one hundred forty-one thousand, two hundred fifty-three".

Divisors: 1 3 9 157 471 1413 383681 1151043 3453129 60237917 180713751 542141253