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8445444 = 2237253271
BaseRepresentation
bin100000001101…
…111000000100
3120220001222020
4200031320010
54130223234
6501003140
7131533200
oct40157004
916801866
108445444
114849207
1229b34b0
131999107
14119bb00
15b1c549
hex80de04

8445444 has 72 divisors (see below), whose sum is σ = 23442048. Its totient is φ = 2358720.

The previous prime is 8445433. The next prime is 8445449. The reversal of 8445444 is 4445448.

It is not an unprimeable number, because it can be changed into a prime (8445449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31029 + ... + 31299.

It is an arithmetic number, because the mean of its divisors is an integer number (325584).

Almost surely, 28445444 is an apocalyptic number.

8445444 is a gapful number since it is divisible by the number (84) 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 8445444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11721024).

8445444 is an abundant number, since it is smaller than the sum of its proper divisors (14996604).

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

8445444 is a wasteful number, since it uses less digits than its factorization.

8445444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 336 counting only the distinct ones).

The product of its digits is 40960, while the sum is 33.

The square root of 8445444 is about 2906.1046092665. The cubic root of 8445444 is about 203.6451925623.

The spelling of 8445444 in words is "eight million, four hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 53 84 98 106 147 159 196 212 271 294 318 371 542 588 636 742 813 1084 1113 1484 1626 1897 2226 2597 3252 3794 4452 5194 5691 7588 7791 10388 11382 13279 14363 15582 22764 26558 28726 31164 39837 43089 53116 57452 79674 86178 100541 159348 172356 201082 301623 402164 603246 703787 1206492 1407574 2111361 2815148 4222722 8445444