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4444132 = 2271147307
BaseRepresentation
bin10000111100111111100100
322100210012111
4100330333210
52114203012
6235130404
752526440
oct20747744
98323174
104444132
112565a40
1215a3a04
13bc7a84
14839820
155cbba7
hex43cfe4

4444132 has 48 divisors (see below), whose sum is σ = 9934848. Its totient is φ = 1689120.

The previous prime is 4444127. The next prime is 4444147. The reversal of 4444132 is 2314444.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 15 ways as a sum of consecutive naturals, for example, 14323 + ... + 14629.

It is an arithmetic number, because the mean of its divisors is an integer number (206976).

Almost surely, 24444132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4444132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4967424).

4444132 is an abundant number, since it is smaller than the sum of its proper divisors (5490716).

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

4444132 is a wasteful number, since it uses less digits than its factorization.

4444132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 374 counting only the distinct ones).

The product of its digits is 1536, while the sum is 22.

The square root of 4444132 is about 2108.1110027700. Note that the first 3 decimals coincide. The cubic root of 4444132 is about 164.4102854271.

Adding to 4444132 its reverse (2314444), we get a palindrome (6758576).

The spelling of 4444132 in words is "four million, four hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 47 77 94 154 188 307 308 329 517 614 658 1034 1228 1316 2068 2149 3377 3619 4298 6754 7238 8596 13508 14429 14476 23639 28858 47278 57716 94556 101003 158719 202006 317438 404012 634876 1111033 2222066 4444132