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444564967 = 71139714543
BaseRepresentation
bin11010011111111…
…000010111100111
31010222112020111011
4122133320113213
51402302034332
6112040323051
714005511530
oct3237702747
91128466434
10444564967
11208a44270
12104a73487
1371145bc2
1443085687
1529067e47
hex1a7f85e7

444564967 has 16 divisors (see below), whose sum is σ = 555697152. Its totient is φ = 345517920.

The previous prime is 444564961. The next prime is 444565013. The reversal of 444564967 is 769465444.

It is a happy number.

It is not a de Polignac number, because 444564967 - 23 = 444564959 is a prime.

It is a super-2 number, since 2×4445649672 = 395276019767422178, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 444564967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444564961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23298 + ... + 37840.

It is an arithmetic number, because the mean of its divisors is an integer number (34731072).

Almost surely, 2444564967 is an apocalyptic number.

444564967 is a deficient number, since it is larger than the sum of its proper divisors (111132185).

444564967 is a wasteful number, since it uses less digits than its factorization.

444564967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14958.

The product of its digits is 2903040, while the sum is 49.

The square root of 444564967 is about 21084.7093174177. The cubic root of 444564967 is about 763.2118040774.

The spelling of 444564967 in words is "four hundred forty-four million, five hundred sixty-four thousand, nine hundred sixty-seven".

Divisors: 1 7 11 77 397 2779 4367 14543 30569 101801 159973 1119811 5773571 40414997 63509281 444564967