Search a number
-
+
3781448 = 231197443
BaseRepresentation
bin1110011011001101001000
321010010011122
432123031020
51432001243
6213014412
744066426
oct16331510
97103148
103781448
112153070
121324408
13a25258
14706116
154ea668
hex39b348

3781448 has 32 divisors (see below), whose sum is σ = 7832160. Its totient is φ = 1697280.

The previous prime is 3781447. The next prime is 3781457. The reversal of 3781448 is 8441873.

It is a happy number.

3781448 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3781447) 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, 8315 + ... + 8757.

It is an arithmetic number, because the mean of its divisors is an integer number (244755).

Almost surely, 23781448 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 3781448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916080).

3781448 is an abundant number, since it is smaller than the sum of its proper divisors (4050712).

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

3781448 is a wasteful number, since it uses less digits than its factorization.

3781448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 553 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 3781448 is about 1944.5945592848. The cubic root of 3781448 is about 155.7947113402.

The spelling of 3781448 in words is "three million, seven hundred eighty-one thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 88 97 194 388 443 776 886 1067 1772 2134 3544 4268 4873 8536 9746 19492 38984 42971 85942 171884 343768 472681 945362 1890724 3781448