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471168253 = 1534930697
BaseRepresentation
bin11100000101010…
…111010011111101
31012211120211100001
4130011113103331
51431104341003
6114430434301
714450602243
oct3405272375
91184524301
10471168253
11221a64756
12111962991
13767cbaaa
144680c793
152b57061d
hex1c1574fd

471168253 has 4 divisors (see below), whose sum is σ = 471214300. Its totient is φ = 471122208.

The previous prime is 471168241. The next prime is 471168263. The reversal of 471168253 is 352861174.

471168253 is a nontrivial binomial coefficient, being equal to C(30698, 2).

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 can be written as a sum of positive squares in 2 ways, for example, as 91814724 + 379353529 = 9582^2 + 19477^2 .

It is a 3-Lehmer number, since φ(471168253) divides (471168253-1)3.

It is a cyclic number.

It is not a de Polignac number, because 471168253 - 25 = 471168221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471168223) 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 3 ways as a sum of consecutive naturals, for example, 1 + ... + 30697.

It is an arithmetic number, because the mean of its divisors is an integer number (117803575).

It is a Poulet number, since it divides 2471168252-1.

Almost surely, 2471168253 is an apocalyptic number.

471168253 is the 30697-th triangular number and also the 15349-th hexagonal number.

471168253 is the 10233-rd centered nonagonal number.

It is an amenable number.

471168253 is a deficient number, since it is larger than the sum of its proper divisors (46047).

471168253 is a wasteful number, since it uses less digits than its factorization.

471168253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46046.

The product of its digits is 40320, while the sum is 37.

The square root of 471168253 is about 21706.4104125947. The cubic root of 471168253 is about 778.1416713212.

The spelling of 471168253 in words is "four hundred seventy-one million, one hundred sixty-eight thousand, two hundred fifty-three".

Divisors: 1 15349 30697 471168253