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3962208 = 253149277
BaseRepresentation
bin1111000111010101100000
321110022010110
433013111200
52003242313
6220531320
745451425
oct17072540
97408113
103962208
112266958
1213b0b40
13a89603
14751d4c
15533ec3
hex3c7560

3962208 has 48 divisors (see below), whose sum is σ = 10508400. Its totient is φ = 1307136.

The previous prime is 3962201. The next prime is 3962213. The reversal of 3962208 is 8022693.

3962208 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (3962201) 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, 14166 + ... + 14442.

It is an arithmetic number, because the mean of its divisors is an integer number (218925).

Almost surely, 23962208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3962208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5254200).

3962208 is an abundant number, since it is smaller than the sum of its proper divisors (6546192).

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

3962208 is a wasteful number, since it uses less digits than its factorization.

3962208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3962208 is about 1990.5295777757. The cubic root of 3962208 is about 158.2385969437.

The spelling of 3962208 in words is "three million, nine hundred sixty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 277 298 447 554 596 831 894 1108 1192 1662 1788 2216 2384 3324 3576 4432 4768 6648 7152 8864 13296 14304 26592 41273 82546 123819 165092 247638 330184 495276 660368 990552 1320736 1981104 3962208