Search a number
-
+
3873816 = 2332173311
BaseRepresentation
bin1110110001110000011000
321021210212200
432301300120
51442430231
6215010200
744632632
oct16616030
97253780
103873816
112206501
121369960
13a582cb
1472ba52
15517be6
hex3b1c18

3873816 has 48 divisors (see below), whose sum is σ = 10586160. Its totient is φ = 1279680.

The previous prime is 3873811. The next prime is 3873817. The reversal of 3873816 is 6183783.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3873811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12301 + ... + 12611.

It is an arithmetic number, because the mean of its divisors is an integer number (220545).

Almost surely, 23873816 is an apocalyptic number.

3873816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3873816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5293080).

3873816 is an abundant number, since it is smaller than the sum of its proper divisors (6712344).

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

3873816 is a wasteful number, since it uses less digits than its factorization.

3873816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 489 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 3873816 is about 1968.2012092263. The cubic root of 3873816 is about 157.0530335934.

The spelling of 3873816 in words is "three million, eight hundred seventy-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 311 346 519 622 692 933 1038 1244 1384 1557 1866 2076 2488 2799 3114 3732 4152 5598 6228 7464 11196 12456 22392 53803 107606 161409 215212 322818 430424 484227 645636 968454 1291272 1936908 3873816