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3922192 = 242979107
BaseRepresentation
bin1110111101100100010000
321101021020101
432331210100
52001002232
6220022144
745223651
oct16754420
97337211
103922192
11223988a
121391954
13a74331
14741528
155271e7
hex3bd910

3922192 has 40 divisors (see below), whose sum is σ = 8035200. Its totient is φ = 1852032.

The previous prime is 3922187. The next prime is 3922207. The reversal of 3922192 is 2912293.

3922192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 3922192.

It is an unprimeable number.

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, 36603 + ... + 36709.

It is an arithmetic number, because the mean of its divisors is an integer number (200880).

Almost surely, 23922192 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 3922192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017600).

3922192 is an abundant number, since it is smaller than the sum of its proper divisors (4113008).

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

3922192 is a wasteful number, since it uses less digits than its factorization.

3922192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its digits is 1944, while the sum is 28.

The square root of 3922192 is about 1980.4524735524. The cubic root of 3922192 is about 157.7040874923.

It can be divided in two parts, 3922 and 192, that added together give a palindrome (4114).

The spelling of 3922192 in words is "three million, nine hundred twenty-two thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 29 58 79 107 116 158 214 232 316 428 464 632 856 1264 1712 2291 3103 4582 6206 8453 9164 12412 16906 18328 24824 33812 36656 49648 67624 135248 245137 490274 980548 1961096 3922192