Search a number
-
+
4163976 = 2332151383
BaseRepresentation
bin1111111000100110001000
321211112220100
433320212020
52031221401
6225125400
750251605
oct17704610
97745810
104163976
112394503
121489860
13b2a3bb
147a56ac
15573b86
hex3f8988

4163976 has 48 divisors (see below), whose sum is σ = 11381760. Its totient is φ = 1375200.

The previous prime is 4163953. The next prime is 4163987. The reversal of 4163976 is 6793614.

4163976 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-2 number, since 2×41639762 = 34677392257152, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4163976.

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 11 ways as a sum of consecutive naturals, for example, 10681 + ... + 11063.

It is an arithmetic number, because the mean of its divisors is an integer number (237120).

Almost surely, 24163976 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 4163976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5690880).

4163976 is an abundant number, since it is smaller than the sum of its proper divisors (7217784).

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

4163976 is a wasteful number, since it uses less digits than its factorization.

4163976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 539 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 4163976 is about 2040.5822698436. The cubic root of 4163976 is about 160.8802525077.

The spelling of 4163976 in words is "four million, one hundred sixty-three thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 302 383 453 604 766 906 1149 1208 1359 1532 1812 2298 2718 3064 3447 3624 4596 5436 6894 9192 10872 13788 27576 57833 115666 173499 231332 346998 462664 520497 693996 1040994 1387992 2081988 4163976