Search a number
-
+
3749816 = 237292309
BaseRepresentation
bin1110010011011110111000
321001111210002
432103132320
51424443231
6212212132
743605260
oct16233670
97044702
103749816
112131324
12130a048
13a13a35
146d87a0
154e10cb
hex3937b8

3749816 has 32 divisors (see below), whose sum is σ = 8316000. Its totient is φ = 1550976.

The previous prime is 3749807. The next prime is 3749833. The reversal of 3749816 is 6189473.

It is a super-2 number, since 2×37498162 = 28122240067712, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3749816.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 470 + ... + 2778.

It is an arithmetic number, because the mean of its divisors is an integer number (259875).

Almost surely, 23749816 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 3749816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158000).

3749816 is an abundant number, since it is smaller than the sum of its proper divisors (4566184).

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

3749816 is a wasteful number, since it uses less digits than its factorization.

3749816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2347 counting only the distinct ones).

The product of its digits is 36288, while the sum is 38.

The square root of 3749816 is about 1936.4441639252. Note that the first 3 decimals coincide. The cubic root of 3749816 is about 155.3590842304.

The spelling of 3749816 in words is "three million, seven hundred forty-nine thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 1624 2309 4618 9236 16163 18472 32326 64652 66961 129304 133922 267844 468727 535688 937454 1874908 3749816