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14115049 = 132174
BaseRepresentation
bin110101110110…
…000011101001
3222120010012121
4311312003221
512103140144
61222311241
7230655514
oct65660351
928503177
1014115049
117a70933
124888521
132c02900
141c35d7b
15138c384
hexd760e9

14115049 has 15 divisors (see below), whose sum is σ = 16239603. Its totient is φ = 12262848.

The previous prime is 14115047. The next prime is 14115067. The reversal of 14115049 is 94051141.

The square root of 14115049 is 3757.

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

It can be written as a sum of positive squares in 7 ways, for example, as 4305625 + 9809424 = 2075^2 + 3132^2 .

It is not a de Polignac number, because 14115049 - 21 = 14115047 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14115041) 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 14 ways as a sum of consecutive naturals, for example, 830289 + ... + 830305.

Almost surely, 214115049 is an apocalyptic number.

14115049 is the 3757-th square number.

14115049 is the 1879-th centered octagonal number.

It is an amenable number.

14115049 is a deficient number, since it is larger than the sum of its proper divisors (2124554).

14115049 is an frugal number, since it uses more digits than its factorization.

14115049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The cubic root of 14115049 is about 241.6726272542.

Multiplying 14115049 by its sum of digits (25), we get a square (352876225 = 187852).

The spelling of 14115049 in words is "fourteen million, one hundred fifteen thousand, forty-nine".

Divisors: 1 13 17 169 221 289 2873 3757 4913 48841 63869 83521 830297 1085773 14115049