Search a number
-
+
8445672 = 2332412861
BaseRepresentation
bin100000001101…
…111011101000
3120220002021200
4200031323220
54130230142
6501004200
7131533644
oct40157350
916802250
108445672
1148493a4
1229b3660
131999251
14119bc24
15b1c64c
hex80dee8

8445672 has 48 divisors (see below), whose sum is σ = 23439780. Its totient is φ = 2745600.

The previous prime is 8445659. The next prime is 8445677. The reversal of 8445672 is 2765448.

8445672 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7918596 + 527076 = 2814^2 + 726^2 .

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

It is a d-powerful number, because it can be written as 85 + 4 + 47 + 53 + 65 + 7 + 223 .

It is not an unprimeable number, because it can be changed into a prime (8445677) 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 11 ways as a sum of consecutive naturals, for example, 1522 + ... + 4382.

Almost surely, 28445672 is an apocalyptic number.

8445672 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8445672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11719890).

8445672 is an abundant number, since it is smaller than the sum of its proper divisors (14994108).

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

8445672 is a wasteful number, since it uses less digits than its factorization.

8445672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2907 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 8445672 is about 2906.1438367706. The cubic root of 8445672 is about 203.6470251356.

The spelling of 8445672 in words is "eight million, four hundred forty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2861 2952 5722 8583 11444 17166 22888 25749 34332 51498 68664 102996 117301 205992 234602 351903 469204 703806 938408 1055709 1407612 2111418 2815224 4222836 8445672