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44032842 = 2337196131
BaseRepresentation
bin1010011111111…
…0001101001010
310001212002201000
42213332031022
542233022332
64211435430
71043162430
oct247761512
9101762630
1044032842
1122945587
12128b5b76
139179349
145bc2d50
153cebb7c
hex29fe34a

44032842 has 64 divisors (see below), whose sum is σ = 117734400. Its totient is φ = 11916720.

The previous prime is 44032841. The next prime is 44032847. The reversal of 44032842 is 24823044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (44032841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4117 + ... + 10247.

It is an arithmetic number, because the mean of its divisors is an integer number (1839600).

Almost surely, 244032842 is an apocalyptic number.

44032842 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 44032842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58867200).

44032842 is an abundant number, since it is smaller than the sum of its proper divisors (73701558).

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

44032842 is a wasteful number, since it uses less digits than its factorization.

44032842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6168 (or 6162 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 44032842 is about 6635.7246778329. The cubic root of 44032842 is about 353.1226478242.

Adding to 44032842 its reverse (24823044), we get a palindrome (68855886).

The spelling of 44032842 in words is "forty-four million, thirty-two thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 798 1026 1197 2394 3591 6131 7182 12262 18393 36786 42917 55179 85834 110358 116489 128751 165537 232978 257502 331074 349467 386253 698934 772506 815423 1048401 1158759 1630846 2096802 2317518 2446269 3145203 4892538 6290406 7338807 14677614 22016421 44032842