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39204126 = 23213239701
BaseRepresentation
bin1001010110001…
…1010100011110
32201202202221200
42111203110132
540014013001
63520140330
7654141513
oct225432436
981682850
1039204126
1120147705
12111676a6
138178510
1452c730a
153696086
hex256351e

39204126 has 48 divisors (see below), whose sum is σ = 91990080. Its totient is φ = 11995200.

The previous prime is 39204103. The next prime is 39204131. The reversal of 39204126 is 62140293.

39204126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 39204126.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 55576 + ... + 56276.

It is an arithmetic number, because the mean of its divisors is an integer number (1916460).

It is a vampire number, since it can be written as 42069321 (with its own digits).

Almost surely, 239204126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39204126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45995040).

39204126 is an abundant number, since it is smaller than the sum of its proper divisors (52785954).

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

39204126 is a wasteful number, since it uses less digits than its factorization.

39204126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 958 counting only the distinct ones).

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

The square root of 39204126 is about 6261.3198289179. The cubic root of 39204126 is about 339.7117684110.

The spelling of 39204126 in words is "thirty-nine million, two hundred four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 239 478 701 717 1402 1434 2103 2151 3107 4206 4302 6214 6309 9113 9321 12618 18226 18642 27339 27963 54678 55926 82017 164034 167539 335078 502617 1005234 1507851 2178007 3015702 4356014 6534021 13068042 19602063 39204126