Search a number
-
+
3912288 = 25383491
BaseRepresentation
bin1110111011001001100000
321100202122120
432323021200
52000143123
6215504240
745153042
oct16731140
97322576
103912288
1122323a6
121388080
13a6c983
1473ba92
155242e3
hex3bb260

3912288 has 48 divisors (see below), whose sum is σ = 10414656. Its totient is φ = 1285760.

The previous prime is 3912263. The next prime is 3912319. The reversal of 3912288 is 8822193.

3912288 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 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, 7723 + ... + 8213.

It is an arithmetic number, because the mean of its divisors is an integer number (216972).

Almost surely, 23912288 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 3912288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207328).

3912288 is an abundant number, since it is smaller than the sum of its proper divisors (6502368).

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

3912288 is a wasteful number, since it uses less digits than its factorization.

3912288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 579 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 3912288 is about 1977.9504543845. The cubic root of 3912288 is about 157.5712350982.

The spelling of 3912288 in words is "three million, nine hundred twelve thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 491 498 664 982 996 1328 1473 1964 1992 2656 2946 3928 3984 5892 7856 7968 11784 15712 23568 40753 47136 81506 122259 163012 244518 326024 489036 652048 978072 1304096 1956144 3912288