Search a number
-
+
3949884 = 223473167
BaseRepresentation
bin1111000100010100111100
321102200020000
433010110330
52002344014
6220354300
745400461
oct17042474
97380200
103949884
112258674
1213a5990
13a83b13
1474b668
15530509
hex3c453c

3949884 has 60 divisors (see below), whose sum is σ = 10529904. Its totient is φ = 1290816.

The previous prime is 3949877. The next prime is 3949889. The reversal of 3949884 is 4889493.

It is a happy number.

3949884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×39498843 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Its product of digits (248832) is a multiple of the sum of its prime factors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3949889) 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 19 ways as a sum of consecutive naturals, for example, 23569 + ... + 23735.

Almost surely, 23949884 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 3949884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264952).

3949884 is an abundant number, since it is smaller than the sum of its proper divisors (6580020).

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

3949884 is a wasteful number, since it uses less digits than its factorization.

3949884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 245 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 3949884 is about 1987.4315082538. The cubic root of 3949884 is about 158.0743654631.

The spelling of 3949884 in words is "three million, nine hundred forty-nine thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 167 219 292 324 334 438 501 657 668 876 1002 1314 1503 1971 2004 2628 3006 3942 4509 5913 6012 7884 9018 11826 12191 13527 18036 23652 24382 27054 36573 48764 54108 73146 109719 146292 219438 329157 438876 658314 987471 1316628 1974942 3949884