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44389008 = 24322811097
BaseRepresentation
bin1010100101010…
…1001010010000
310002112012021100
42221111022100
542330422013
64223224400
71046205006
oct251251220
9102465240
1044389008
1123069134
1212a48100
1392724b1
145c76a76
153d6c473
hex2a55290

44389008 has 60 divisors (see below), whose sum is σ = 124783308. Its totient is φ = 14730240.

The previous prime is 44389003. The next prime is 44389013. The reversal of 44389008 is 80098344.

It is an interprime number because it is at equal distance from previous prime (44389003) and next prime (44389013).

It can be written as a sum of positive squares in 2 ways, for example, as 21233664 + 23155344 = 4608^2 + 4812^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44389003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39916 + ... + 41012.

Almost surely, 244389008 is an apocalyptic number.

44389008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44389008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62391654).

44389008 is an abundant number, since it is smaller than the sum of its proper divisors (80394300).

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

44389008 is a wasteful number, since it uses less digits than its factorization.

44389008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 44389008 is about 6662.5076360181. The cubic root of 44389008 is about 354.0721867535.

The spelling of 44389008 in words is "forty-four million, three hundred eighty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 281 562 843 1097 1124 1686 2194 2248 2529 3291 3372 4388 4496 5058 6582 6744 8776 9873 10116 13164 13488 17552 19746 20232 26328 39492 40464 52656 78984 157968 308257 616514 924771 1233028 1849542 2466056 2774313 3699084 4932112 5548626 7398168 11097252 14796336 22194504 44389008