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39106249 = 7131133803
BaseRepresentation
bin1001010100101…
…1011011001001
32201120210200121
42111023123021
540002344444
63514103241
7653253250
oct225133311
981523617
1039106249
1120090116
121111ab21
138142ac0
14529d797
153677084
hex254b6c9

39106249 has 16 divisors (see below), whose sum is σ = 48569472. Its totient is φ = 30659328.

The previous prime is 39106241. The next prime is 39106267. The reversal of 39106249 is 94260193.

39106249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 39106249 - 23 = 39106241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (39106241) 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 15 ways as a sum of consecutive naturals, for example, 8382 + ... + 12184.

It is an arithmetic number, because the mean of its divisors is an integer number (3035592).

Almost surely, 239106249 is an apocalyptic number.

It is an amenable number.

39106249 is a deficient number, since it is larger than the sum of its proper divisors (9463223).

39106249 is a wasteful number, since it uses less digits than its factorization.

39106249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936.

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 39106249 is about 6253.4989405932. The cubic root of 39106249 is about 339.4288247415.

The spelling of 39106249 in words is "thirty-nine million, one hundred six thousand, two hundred forty-nine".

Divisors: 1 7 13 91 113 791 1469 3803 10283 26621 49439 346073 429739 3008173 5586607 39106249