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4137696 = 25334789
BaseRepresentation
bin1111110010001011100000
321210012212000
433302023200
52024401241
6224404000
750112153
oct17621340
97705760
104137696
112376792
121476600
13b1b454
14799c9a
1556aeb6
hex3f22e0

4137696 has 48 divisors (see below), whose sum is σ = 12070800. Its totient is φ = 1378944.

The previous prime is 4137671. The next prime is 4137697. The reversal of 4137696 is 6967314.

4137696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4137696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4137697) 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 7 ways as a sum of consecutive naturals, for example, 1531 + ... + 3258.

It is an arithmetic number, because the mean of its divisors is an integer number (251475).

Almost surely, 24137696 is an apocalyptic number.

It is an amenable number.

4137696 is an abundant number, since it is smaller than the sum of its proper divisors (7933104).

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

4137696 is a wasteful number, since it uses less digits than its factorization.

4137696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4808 (or 4794 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 4137696 is about 2034.1327390316. The cubic root of 4137696 is about 160.5410847744.

The spelling of 4137696 in words is "four million, one hundred thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4789 9578 14367 19156 28734 38312 43101 57468 76624 86202 114936 129303 153248 172404 229872 258606 344808 459744 517212 689616 1034424 1379232 2068848 4137696