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8253441 = 33743669
BaseRepresentation
bin11111011111000000000001
3120112022121000
4133133000001
54103102231
6452522213
7130103340
oct37370001
916468530
108253441
114727a29
122920369
13192c8c1
14114bb57
15ad06e6
hex7df001

8253441 has 16 divisors (see below), whose sum is σ = 13974400. Its totient is φ = 4716144.

The previous prime is 8253431. The next prime is 8253461. The reversal of 8253441 is 1443528.

8253441 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8253441 - 213 = 8245249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8253431) 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 15 ways as a sum of consecutive naturals, for example, 21646 + ... + 22023.

It is an arithmetic number, because the mean of its divisors is an integer number (873400).

It is a Proth number, since it is equal to 2015 ⋅ 212 + 1 and 2015 < 212.

Almost surely, 28253441 is an apocalyptic number.

It is an amenable number.

8253441 is a deficient number, since it is larger than the sum of its proper divisors (5720959).

8253441 is a wasteful number, since it uses less digits than its factorization.

8253441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43685 (or 43679 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 8253441 is about 2872.8802620367. The cubic root of 8253441 is about 202.0900898675.

Adding to 8253441 its reverse (1443528), we get a palindrome (9696969).

The spelling of 8253441 in words is "eight million, two hundred fifty-three thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 27 63 189 43669 131007 305683 393021 917049 1179063 2751147 8253441