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44498144 = 253121447
BaseRepresentation
bin1010100110111…
…1110011100000
310002201201222102
42221233303200
542342420034
64225425532
71050141125
oct251576340
9102651872
1044498144
1123133129
1212a9b2a8
1392b0082
145ca474c
153d8e97e
hex2a6fce0

44498144 has 36 divisors (see below), whose sum is σ = 90585432. Its totient is φ = 21516480.

The previous prime is 44498137. The next prime is 44498149. The reversal of 44498144 is 44189444.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 44498098 and 44498107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44498149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30029 + ... + 31475.

It is an arithmetic number, because the mean of its divisors is an integer number (2516262).

Almost surely, 244498144 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 44498144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45292716).

44498144 is an abundant number, since it is smaller than the sum of its proper divisors (46087288).

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

44498144 is a wasteful number, since it uses less digits than its factorization.

44498144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1480 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 44498144 is about 6670.6929175311. The cubic root of 44498144 is about 354.3621263755.

The spelling of 44498144 in words is "forty-four million, four hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 961 992 1447 1922 2894 3844 5788 7688 11576 15376 23152 30752 44857 46304 89714 179428 358856 717712 1390567 1435424 2781134 5562268 11124536 22249072 44498144