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444865146 = 231117537481
BaseRepresentation
bin11010100001000…
…001101001111010
31011000002111020220
4122201001221322
51402341141041
6112051000510
714011201635
oct3241015172
91130074226
10444865146
11209129850
12104b99136
137121c71b
1443122c1c
15290c6d66
hex1a841a7a

444865146 has 64 divisors (see below), whose sum is σ = 1047240576. Its totient is φ = 124467200.

The previous prime is 444865117. The next prime is 444865151. The reversal of 444865146 is 641568444.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 444865098 and 444865107.

It is an unprimeable number.

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, 55726 + ... + 63206.

It is an arithmetic number, because the mean of its divisors is an integer number (16363134).

Almost surely, 2444865146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444865146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523620288).

444865146 is an abundant number, since it is smaller than the sum of its proper divisors (602375430).

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

444865146 is a wasteful number, since it uses less digits than its factorization.

444865146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7567.

The product of its digits is 368640, while the sum is 42.

The square root of 444865146 is about 21091.8265211906. The cubic root of 444865146 is about 763.3835439640.

The spelling of 444865146 in words is "four hundred forty-four million, eight hundred sixty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 53 66 102 106 159 187 318 374 561 583 901 1122 1166 1749 1802 2703 3498 5406 7481 9911 14962 19822 22443 29733 44886 59466 82291 127177 164582 246873 254354 381531 396493 493746 763062 792986 1189479 1398947 2378958 2797894 4196841 4361423 6740381 8393682 8722846 13084269 13480762 20221143 26168538 40442286 74144191 148288382 222432573 444865146