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44008272 = 24367311
BaseRepresentation
bin1010011111100…
…0001101010000
310001210212000000
42213320031100
542231231042
64211130000
71043031000
oct247701520
9101725000
1044008272
1122929080
12128a3900
13916b0c9
145bb8000
153ce474c
hex29f8350

44008272 has 280 divisors, whose sum is σ = 162638400. Its totient is φ = 11430720.

The previous prime is 44008249. The next prime is 44008273. The reversal of 44008272 is 27280044.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44008273) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4000747 + ... + 4000757.

Almost surely, 244008272 is an apocalyptic number.

44008272 is a gapful number since it is divisible by the number (42) 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 44008272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81319200).

44008272 is an abundant number, since it is smaller than the sum of its proper divisors (118630128).

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

44008272 is an equidigital number, since it uses as much as digits as its factorization.

44008272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 44008272 is about 6633.8730768684. The cubic root of 44008272 is about 353.0569556626.

The spelling of 44008272 in words is "forty-four million, eight thousand, two hundred seventy-two".