Search a number
-
+
3916976 = 24741853
BaseRepresentation
bin1110111100010010110000
321101000002012
432330102300
52000320401
6215542052
745202520
oct16742260
97330065
103916976
112235978
12138a928
13a71b4b
1473d680
155258bb
hex3bc4b0

3916976 has 40 divisors (see below), whose sum is σ = 8895264. Its totient is φ = 1635840.

The previous prime is 3916921. The next prime is 3916981. The reversal of 3916976 is 6796193.

It is a happy number.

3916976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

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, 4166 + ... + 5018.

Almost surely, 23916976 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 3916976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447632).

3916976 is an abundant number, since it is smaller than the sum of its proper divisors (4978288).

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

3916976 is a wasteful number, since it uses less digits than its factorization.

3916976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 903 counting only the distinct ones).

The product of its digits is 61236, while the sum is 41.

The square root of 3916976 is about 1979.1351646616. The cubic root of 3916976 is about 157.6341479081.

The spelling of 3916976 in words is "three million, nine hundred sixteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 853 1148 1706 2296 3412 4592 5971 6824 11942 13648 23884 34973 47768 69946 95536 139892 244811 279784 489622 559568 979244 1958488 3916976