Search a number
-
+
3945928 = 237312273
BaseRepresentation
bin1111000011010111001000
321102110210111
433003113020
52002232203
6220324104
745353110
oct17032710
97373714
103945928
1122556a8
1213a3634
13a8208c
1474a040
1552e26d
hex3c35c8

3945928 has 32 divisors (see below), whose sum is σ = 8732160. Its totient is φ = 1635840.

The previous prime is 3945923. The next prime is 3945937. The reversal of 3945928 is 8295493.

It is a happy number.

3945928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3945923) 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, 600 + ... + 2872.

It is an arithmetic number, because the mean of its divisors is an integer number (272880).

Almost surely, 23945928 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 3945928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4366080).

3945928 is an abundant number, since it is smaller than the sum of its proper divisors (4786232).

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

3945928 is a wasteful number, since it uses less digits than its factorization.

3945928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2313 counting only the distinct ones).

The product of its digits is 77760, while the sum is 40.

The square root of 3945928 is about 1986.4360045066. The cubic root of 3945928 is about 158.0215747925.

The spelling of 3945928 in words is "three million, nine hundred forty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1736 2273 4546 9092 15911 18184 31822 63644 70463 127288 140926 281852 493241 563704 986482 1972964 3945928