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444227658 = 23723895167
BaseRepresentation
bin11010011110100…
…110000001001010
31010221220002210020
4122132212001022
51402210241113
6112025201310
714002605240
oct3236460112
91127802706
10444227658
112088338a6
12104930236
1371058504
1442dd8790
1528eed023
hex1a7a604a

444227658 has 64 divisors (see below), whose sum is σ = 1071636480. Its totient is φ = 120016512.

The previous prime is 444227653. The next prime is 444227669. The reversal of 444227658 is 856722444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (444227653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83391 + ... + 88557.

It is an arithmetic number, because the mean of its divisors is an integer number (16744320).

Almost surely, 2444227658 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444227658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535818240).

444227658 is an abundant number, since it is smaller than the sum of its proper divisors (627408822).

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

444227658 is a wasteful number, since it uses less digits than its factorization.

444227658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5291.

The product of its digits is 430080, while the sum is 42.

The square root of 444227658 is about 21076.7088986872. The cubic root of 444227658 is about 763.0187289241.

The spelling of 444227658 in words is "four hundred forty-four million, two hundred twenty-seven thousand, six hundred fifty-eight".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 89 138 161 178 267 322 483 534 623 966 1246 1869 2047 3738 4094 5167 6141 10334 12282 14329 15501 28658 31002 36169 42987 72338 85974 108507 118841 217014 237682 356523 459863 713046 831887 919726 1379589 1663774 2495661 2759178 3219041 4991322 6438082 9657123 10576849 19314246 21153698 31730547 63461094 74037943 148075886 222113829 444227658