Search a number
-
+
253247417 = 6118122937
BaseRepresentation
bin11110001100000…
…11111110111001
3122122112022010222
433012003332321
51004312404132
641043545425
76163365443
oct1706037671
9578468128
10253247417
1111aa51595
127098b275
134060b857
14258c3493
1517376412
hexf183fb9

253247417 has 8 divisors (see below), whose sum is σ = 258832392. Its totient is φ = 247708800.

The previous prime is 253247413. The next prime is 253247429. The reversal of 253247417 is 714742352.

It can be written as a sum of positive squares in 4 ways, for example, as 35271721 + 217975696 = 5939^2 + 14764^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 253247417 - 22 = 253247413 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (253247413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 428 + ... + 22509.

It is an arithmetic number, because the mean of its divisors is an integer number (32354049).

Almost surely, 2253247417 is an apocalyptic number.

It is an amenable number.

253247417 is a deficient number, since it is larger than the sum of its proper divisors (5584975).

253247417 is a wasteful number, since it uses less digits than its factorization.

253247417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23179.

The product of its digits is 47040, while the sum is 35.

The square root of 253247417 is about 15913.7493068101. The cubic root of 253247417 is about 632.6764583406.

Adding to 253247417 its reverse (714742352), we get a palindrome (967989769).

The spelling of 253247417 in words is "two hundred fifty-three million, two hundred forty-seven thousand, four hundred seventeen".

Divisors: 1 61 181 11041 22937 1399157 4151597 253247417