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44968440 = 233511219163
BaseRepresentation
bin1010101110001…
…0100111111000
310010121122002210
42223202213320
543002442230
64243455120
71054140216
oct253424770
9103548083
1044968440
1123424500
12130874a0
13941615a
145d87cb6
153e33eb0
hex2ae29f8

44968440 has 192 divisors, whose sum is σ = 157046400. Its totient is φ = 10264320.

The previous prime is 44968403. The next prime is 44968447. The reversal of 44968440 is 4486944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44968447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275799 + ... + 275961.

It is an arithmetic number, because the mean of its divisors is an integer number (817950).

Almost surely, 244968440 is an apocalyptic number.

44968440 is a gapful number since it is divisible by the number (40) 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 44968440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78523200).

44968440 is an abundant number, since it is smaller than the sum of its proper divisors (112077960).

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

44968440 is a wasteful number, since it uses less digits than its factorization.

44968440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 44968440 is about 6705.8511763981. The cubic root of 44968440 is about 355.6061587410.

The spelling of 44968440 in words is "forty-four million, nine hundred sixty-eight thousand, four hundred forty".