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49141 = 157313
BaseRepresentation
bin1011111111110101
32111102001
423333311
53033031
61015301
7263161
oct137765
974361
1049141
1133a14
1224531
13194a1
1413ca1
15e861
hexbff5

49141 has 4 divisors (see below), whose sum is σ = 49612. Its totient is φ = 48672.

The previous prime is 49139. The next prime is 49157. The reversal of 49141 is 14194.

It can be divided in two parts, 49 and 141, that added together give a triangular number (190 = T19).

It is the 91-st star number.

49141 is a nontrivial binomial coefficient, being equal to C(314, 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 5041 + 44100 = 71^2 + 210^2 .

It is a 3-Lehmer number, since φ(49141) divides (49141-1)3.

It is a cyclic number.

It is not a de Polignac number, because 49141 - 21 = 49139 is a prime.

It is an Ulam number.

49141 is a lucky number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 313.

It is an arithmetic number, because the mean of its divisors is an integer number (12403).

It is a Poulet number, since it divides 249140-1.

249141 is an apocalyptic number.

49141 is the 313-rd triangular number and also the 157-th hexagonal number.

49141 is the 105-th centered nonagonal number.

It is an amenable number.

49141 is a deficient number, since it is larger than the sum of its proper divisors (471).

49141 is a wasteful number, since it uses less digits than its factorization.

49141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470.

The product of its digits is 144, while the sum is 19.

The square root of 49141 is about 221.6776939613. The cubic root of 49141 is about 36.6281229500.

The spelling of 49141 in words is "forty-nine thousand, one hundred forty-one".

Divisors: 1 157 313 49141