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444107937 = 37131626769
BaseRepresentation
bin11010011110001…
…000110010100001
31010221200000120010
4122132020302201
51402142423222
6112022435133
714001566220
oct3236106241
91127600503
10444107937
11208761959
12104892aa9
1371015b80
1442da6cb7
1528ec780c
hex1a788ca1

444107937 has 16 divisors (see below), whose sum is σ = 728792960. Its totient is φ = 234254592.

The previous prime is 444107921. The next prime is 444107969. The reversal of 444107937 is 739701444.

It is not a de Polignac number, because 444107937 - 24 = 444107921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 444107895 and 444107904.

It is not an unprimeable number, because it can be changed into a prime (444107977) 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 15 ways as a sum of consecutive naturals, for example, 813112 + ... + 813657.

It is an arithmetic number, because the mean of its divisors is an integer number (45549560).

Almost surely, 2444107937 is an apocalyptic number.

It is an amenable number.

444107937 is a deficient number, since it is larger than the sum of its proper divisors (284685023).

444107937 is a wasteful number, since it uses less digits than its factorization.

444107937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626792.

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 444107937 is about 21073.8685817294. The cubic root of 444107937 is about 762.9501773071.

The spelling of 444107937 in words is "four hundred forty-four million, one hundred seven thousand, nine hundred thirty-seven".

Divisors: 1 3 7 13 21 39 91 273 1626769 4880307 11387383 21147997 34162149 63443991 148035979 444107937