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3823976 = 231383443
BaseRepresentation
bin1110100101100101101000
321012021111202
432211211220
51434331401
6213543332
744334422
oct16454550
97167452
103823976
112182012
121344b48
13a3b710
14717812
1550806b
hex3a5968

3823976 has 32 divisors (see below), whose sum is σ = 7832160. Its totient is φ = 1739712.

The previous prime is 3823973. The next prime is 3823991. The reversal of 3823976 is 6793283.

3823976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 3 + 87 + 217 + 313 + 92 + 72 + 64 .

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (3823973) 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 7 ways as a sum of consecutive naturals, for example, 8411 + ... + 8853.

It is an arithmetic number, because the mean of its divisors is an integer number (244755).

Almost surely, 23823976 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 3823976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916080).

3823976 is an abundant number, since it is smaller than the sum of its proper divisors (4008184).

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

3823976 is a wasteful number, since it uses less digits than its factorization.

3823976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 541 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The square root of 3823976 is about 1955.4989133211. The cubic root of 3823976 is about 156.3765830767.

The spelling of 3823976 in words is "three million, eight hundred twenty-three thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 26 52 83 104 166 332 443 664 886 1079 1772 2158 3544 4316 5759 8632 11518 23036 36769 46072 73538 147076 294152 477997 955994 1911988 3823976