Search a number
-
+
4117917241 = 641712
BaseRepresentation
bin1111010101110010…
…0110111000111001
3101121222120212111101
43311130212320321
531413141322431
61520341131401
7204021501424
oct36534467071
911558525441
104117917241
111823503199
1296b0b9b61
13508199629
142b0c8a9bb
151917b8961
hexf5726e39

4117917241 has 3 divisors (see below), whose sum is σ = 4117981413. Its totient is φ = 4117853070.

The previous prime is 4117917239. The next prime is 4117917269. The reversal of 4117917241 is 1427197114.

It is a happy number.

The square root of 4117917241 is 64171.

It is a perfect power (a square), and thus also a powerful number.

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.

It is not a de Polignac number, because 4117917241 - 21 = 4117917239 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4117917241.

It is not an unprimeable number, because it can be changed into a prime (4117917211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 32086 + ... + 96256.

It is an arithmetic number, because the mean of its divisors is an integer number (1372660471).

Almost surely, 24117917241 is an apocalyptic number.

4117917241 is the 64171-st square number.

4117917241 is the 32086-th centered octagonal number.

It is an amenable number.

4117917241 is a deficient number, since it is larger than the sum of its proper divisors (64172).

4117917241 is an frugal number, since it uses more digits than its factorization.

4117917241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128342 (or 64171 counting only the distinct ones).

The product of its digits is 14112, while the sum is 37.

The cubic root of 4117917241 is about 1602.8487323641.

The spelling of 4117917241 in words is "four billion, one hundred seventeen million, nine hundred seventeen thousand, two hundred forty-one".

Divisors: 1 64171 4117917241