Search a number
-
+
44338112 = 2671323331
BaseRepresentation
bin1010100100100…
…0101111000000
310002102121110022
42221020233000
542322304422
64222153012
71045603430
oct251105700
9102377408
1044338112
1123033975
1212a22768
139255290
145c622c0
153d5c342
hex2a48bc0

44338112 has 112 divisors (see below), whose sum is σ = 113336832. Its totient is φ = 16727040.

The previous prime is 44338111. The next prime is 44338127. The reversal of 44338112 is 21183344.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44338111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133787 + ... + 134117.

It is an arithmetic number, because the mean of its divisors is an integer number (1011936).

Almost surely, 244338112 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 44338112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56668416).

44338112 is an abundant number, since it is smaller than the sum of its proper divisors (68998720).

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

44338112 is a wasteful number, since it uses less digits than its factorization.

44338112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 44338112 is about 6658.6869576516. The cubic root of 44338112 is about 353.9368097707.

The spelling of 44338112 in words is "forty-four million, three hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 64 91 92 104 112 161 182 184 208 224 299 322 331 364 368 416 448 598 644 662 728 736 832 1196 1288 1324 1456 1472 2093 2317 2392 2576 2648 2912 4186 4303 4634 4784 5152 5296 5824 7613 8372 8606 9268 9568 10304 10592 15226 16744 17212 18536 19136 21184 30121 30452 33488 34424 37072 53291 60242 60904 66976 68848 74144 98969 106582 120484 121808 133952 137696 148288 197938 213164 240968 243616 275392 395876 426328 481936 487232 692783 791752 852656 963872 1385566 1583504 1705312 1927744 2771132 3167008 3410624 5542264 6334016 11084528 22169056 44338112