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3922000 = 24533753
BaseRepresentation
bin1110111101100001010000
321101020222021
432331201100
52001001000
6220021224
745223255
oct16754120
97336867
103922000
112239725
121391814
13a74214
1474142c
1552711a
hex3bd850

3922000 has 80 divisors (see below), whose sum is σ = 9923472. Its totient is φ = 1497600.

The previous prime is 3921997. The next prime is 3922003. The reversal of 3922000 is 2293.

3922000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3921997) and next prime (3922003).

It can be written as a sum of positive squares in 8 ways, for example, as 266256 + 3655744 = 516^2 + 1912^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3922003) 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 15 ways as a sum of consecutive naturals, for example, 73974 + ... + 74026.

Almost surely, 23922000 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 3922000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4961736).

3922000 is an abundant number, since it is smaller than the sum of its proper divisors (6001472).

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

3922000 is a wasteful number, since it uses less digits than its factorization.

3922000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3922000 is about 1980.4039991880. The cubic root of 3922000 is about 157.7015141287.

Adding to 3922000 its reverse (2293), we get a palindrome (3924293).

The spelling of 3922000 in words is "three million, nine hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 53 74 80 100 106 125 148 185 200 212 250 265 296 370 400 424 500 530 592 740 848 925 1000 1060 1325 1480 1850 1961 2000 2120 2650 2960 3700 3922 4240 4625 5300 6625 7400 7844 9250 9805 10600 13250 14800 15688 18500 19610 21200 26500 31376 37000 39220 49025 53000 74000 78440 98050 106000 156880 196100 245125 392200 490250 784400 980500 1961000 3922000