Search a number
-
+
3768975 = 325272393
BaseRepresentation
bin1110011000001010001111
321002111001200
432120022033
51431101400
6212440543
744015160
oct16301217
97074050
103768975
112144761
121319153
13a1c682
14701767
154e6b00
hex39828f

3768975 has 36 divisors (see below), whose sum is σ = 7718256. Its totient is φ = 1722240.

The previous prime is 3768971. The next prime is 3768983. The reversal of 3768975 is 5798673.

It is a happy number.

3768975 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3768975 - 22 = 3768971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a d-powerful number, because it can be written as 313 + 73 + 64 + 87 + 95 + 75 + 5 .

It is a self number, because there is not a number n which added to its sum of digits gives 3768975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3768971) 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 35 ways as a sum of consecutive naturals, for example, 379 + ... + 2771.

It is an arithmetic number, because the mean of its divisors is an integer number (214396).

Almost surely, 23768975 is an apocalyptic number.

3768975 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3768975 is an abundant number, since it is smaller than the sum of its proper divisors (3949281).

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

3768975 is a wasteful number, since it uses less digits than its factorization.

3768975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2408 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 3768975 is about 1941.3848150225. The cubic root of 3768975 is about 155.6232278310.

The spelling of 3768975 in words is "three million, seven hundred sixty-eight thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1575 2393 7179 11965 16751 21537 35895 50253 59825 83755 107685 150759 179475 251265 418775 538425 753795 1256325 3768975