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3749265 = 3251321729
BaseRepresentation
bin1110010011010110010001
321001111000200
432103112101
51424434030
6212205413
743603542
oct16232621
97044020
103749265
112130973
121309869
13a13700
146d84c9
154e0d60
hex393591

3749265 has 72 divisors (see below), whose sum is σ = 7707960. Its totient is φ = 1677312.

The previous prime is 3749257. The next prime is 3749267. The reversal of 3749265 is 5629473.

3749265 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1535121 + 2214144 = 1239^2 + 1488^2 .

It is not a de Polignac number, because 3749265 - 23 = 3749257 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3749267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 129271 + ... + 129299.

It is an arithmetic number, because the mean of its divisors is an integer number (107055).

Almost surely, 23749265 is an apocalyptic number.

It is an amenable number.

3749265 is an abundant number, since it is smaller than the sum of its proper divisors (3958695).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3749265 is a wasteful number, since it uses less digits than its factorization.

3749265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 67 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 3749265 is about 1936.3018876198. The cubic root of 3749265 is about 155.3514743416.

The spelling of 3749265 in words is "three million, seven hundred forty-nine thousand, two hundred sixty-five".

Divisors: 1 3 5 9 13 15 17 29 39 45 51 65 85 87 117 145 153 169 195 221 255 261 377 435 493 507 585 663 765 845 1105 1131 1305 1479 1521 1885 1989 2465 2535 2873 3315 3393 4437 4901 5655 6409 7395 7605 8619 9945 14365 14703 16965 19227 22185 24505 25857 32045 43095 44109 57681 73515 83317 96135 129285 220545 249951 288405 416585 749853 1249755 3749265