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44132144 = 2472181311
BaseRepresentation
bin1010100001011…
…0011100110000
310002001010220212
42220112130300
542244212034
64213523252
71044055100
oct250263460
9102033825
1044132144
1122a03151
1212943528
1391b25c4
145c0b200
153d1b2ce
hex2a16730

44132144 has 60 divisors (see below), whose sum is σ = 100337328. Its totient is φ = 18748800.

The previous prime is 44132131. The next prime is 44132149. The reversal of 44132144 is 44123144.

It is a happy number.

It is a super-2 number, since 2×441321442 = 3895292268073472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44132149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141749 + ... + 142059.

Almost surely, 244132144 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 44132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50168664).

44132144 is an abundant number, since it is smaller than the sum of its proper divisors (56205184).

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

44132144 is a wasteful number, since it uses less digits than its factorization.

44132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 501 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 44132144 is about 6643.2028420032. The cubic root of 44132144 is about 353.3879002787.

Adding to 44132144 its reverse (44123144), we get a palindrome (88255288).

The spelling of 44132144 in words is "forty-four million, one hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 181 196 311 362 392 622 724 784 1244 1267 1448 2177 2488 2534 2896 4354 4976 5068 8708 8869 10136 15239 17416 17738 20272 30478 34832 35476 56291 60956 70952 112582 121912 141904 225164 243824 394037 450328 788074 900656 1576148 2758259 3152296 5516518 6304592 11033036 22066072 44132144