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3782896 = 241321399
BaseRepresentation
bin1110011011100011110000
321010012011021
432123203300
51432023041
6213025224
744103565
oct16334360
97105137
103782896
112154167
121325214
13a25b00
1470686c
154eacd1
hex39b8f0

3782896 has 30 divisors (see below), whose sum is σ = 7942200. Its totient is φ = 1744704.

The previous prime is 3782893. The next prime is 3782897. The reversal of 3782896 is 6982873.

3782896 is digitally balanced in base 5, 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 (3782893) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2005 + ... + 3403.

It is an arithmetic number, because the mean of its divisors is an integer number (264740).

Almost surely, 23782896 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 3782896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971100).

3782896 is an abundant number, since it is smaller than the sum of its proper divisors (4159304).

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

3782896 is a wasteful number, since it uses less digits than its factorization.

3782896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1414 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 3782896 is about 1944.9668377636. The cubic root of 3782896 is about 155.8145945484.

The spelling of 3782896 in words is "three million, seven hundred eighty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 1399 2704 2798 5596 11192 18187 22384 36374 72748 145496 236431 290992 472862 945724 1891448 3782896