Search a number
-
+
3782048 = 25118189
BaseRepresentation
bin1110011011010110100000
321010010222212
432123112200
51432011143
6213021252
744101244
oct16332640
97103885
103782048
112153566
121324828
13a255ca
14706424
154ea918
hex39b5a0

3782048 has 12 divisors (see below), whose sum is σ = 7445970. Its totient is φ = 1891008.

The previous prime is 3782039. The next prime is 3782059. The reversal of 3782048 is 8402873.

3782048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2274064 + 1507984 = 1508^2 + 1228^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 118189 = 3782048 / (3 + 7 + 8 + 2 + 0 + 4 + 8).

It is an Ulam 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 as a sum of consecutive naturals, namely, 59063 + ... + 59126.

Almost surely, 23782048 is an apocalyptic number.

It is an amenable number.

3782048 is a deficient number, since it is larger than the sum of its proper divisors (3663922).

3782048 is a wasteful number, since it uses less digits than its factorization.

3782048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118199 (or 118191 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 3782048 is about 1944.7488269697. The cubic root of 3782048 is about 155.8029508544.

The spelling of 3782048 in words is "three million, seven hundred eighty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 32 118189 236378 472756 945512 1891024 3782048