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444037407 = 311373591013
BaseRepresentation
bin11010011101110…
…111100100011111
31010221112102210220
4122131313210133
51402133144112
6112021132423
714001153462
oct3235674437
91127472726
10444037407
11208713970
1210485a113
1370cbca38
1442d892d9
1528eb198c
hex1a77791f

444037407 has 32 divisors (see below), whose sum is σ = 665832960. Its totient is φ = 260853120.

The previous prime is 444037387. The next prime is 444037427. The reversal of 444037407 is 704730444.

It is an interprime number because it is at equal distance from previous prime (444037387) and next prime (444037427).

It is not a de Polignac number, because 444037407 - 26 = 444037343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444037427) 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 31 ways as a sum of consecutive naturals, for example, 437833 + ... + 438845.

It is an arithmetic number, because the mean of its divisors is an integer number (20807280).

Almost surely, 2444037407 is an apocalyptic number.

444037407 is a deficient number, since it is larger than the sum of its proper divisors (221795553).

444037407 is a wasteful number, since it uses less digits than its factorization.

444037407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423.

The product of its (nonzero) digits is 37632, while the sum is 33.

The square root of 444037407 is about 21072.1951158393. The cubic root of 444037407 is about 762.9097864319.

It can be divided in two parts, 444037 and 407, that added together give a palindrome (444444).

The spelling of 444037407 in words is "four hundred forty-four million, thirty-seven thousand, four hundred seven".

Divisors: 1 3 11 33 37 111 359 407 1013 1077 1221 3039 3949 11143 11847 13283 33429 37481 39849 112443 146113 363667 412291 438339 1091001 1236873 4000337 12001011 13455679 40367037 148012469 444037407