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104249313 = 3272376389
BaseRepresentation
bin1100011011010…
…11011111100001
321021011102011200
412031223133201
5203141434223
614202231413
72404050600
oct615533741
9237142150
10104249313
1153934063
122aab5569
13187a09ac
14dbb9a37
159243a43
hex636b7e1

104249313 has 36 divisors (see below), whose sum is σ = 179929620. Its totient is φ = 57951936.

The previous prime is 104249309. The next prime is 104249323. The reversal of 104249313 is 313942401.

104249313 is a `hidden beast` number, since 104 + 249 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37859409 + 66389904 = 6153^2 + 8148^2 .

It is not a de Polignac number, because 104249313 - 22 = 104249309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104249323) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13123 + ... + 19511.

It is an arithmetic number, because the mean of its divisors is an integer number (4998045).

Almost surely, 2104249313 is an apocalyptic number.

It is an amenable number.

104249313 is a deficient number, since it is larger than the sum of its proper divisors (75680307).

104249313 is a wasteful number, since it uses less digits than its factorization.

104249313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6446 (or 6436 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 104249313 is about 10210.2552857409. The cubic root of 104249313 is about 470.6424186291.

The spelling of 104249313 in words is "one hundred four million, two hundred forty-nine thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 37 49 63 111 147 259 333 441 777 1813 2331 5439 6389 16317 19167 44723 57501 134169 236393 313061 402507 709179 939183 1654751 2127537 2817549 4964253 11583257 14892759 34749771 104249313