Search a number
-
+
3828024 = 233279673
BaseRepresentation
bin1110100110100100111000
321012111001200
432212210320
51434444044
6214014200
744352264
oct16464470
97174050
103828024
112185062
121347360
13a40505
147190a4
15509369
hex3a6938

3828024 has 48 divisors (see below), whose sum is σ = 10514400. Its totient is φ = 1257984.

The previous prime is 3828023. The next prime is 3828037. The reversal of 3828024 is 4208283.

3828024 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 (3828023) 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 11 ways as a sum of consecutive naturals, for example, 5352 + ... + 6024.

It is an arithmetic number, because the mean of its divisors is an integer number (219050).

Almost surely, 23828024 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 3828024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5257200).

3828024 is an abundant number, since it is smaller than the sum of its proper divisors (6686376).

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

3828024 is a wasteful number, since it uses less digits than its factorization.

3828024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3828024 is about 1956.5336695288. The cubic root of 3828024 is about 156.4317428697.

The spelling of 3828024 in words is "three million, eight hundred twenty-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 673 711 948 1346 1422 1896 2019 2692 2844 4038 5384 5688 6057 8076 12114 16152 24228 48456 53167 106334 159501 212668 319002 425336 478503 638004 957006 1276008 1914012 3828024