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44144064 = 2632173443
BaseRepresentation
bin1010100001100…
…1010111000000
310002001202021100
42220121113000
542300102224
64214054400
71044134616
oct250312700
9102052240
1044144064
1122a110a8
121294a400
1391b7b63
145c116b6
153d1eac9
hex2a195c0

44144064 has 84 divisors (see below), whose sum is σ = 127549656. Its totient is φ = 14596608.

The previous prime is 44144063. The next prime is 44144077. The reversal of 44144064 is 46044144.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44144063) 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, 99427 + ... + 99869.

Almost surely, 244144064 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 44144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63774828).

44144064 is an abundant number, since it is smaller than the sum of its proper divisors (83405592).

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

44144064 is a wasteful number, since it uses less digits than its factorization.

44144064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 621 counting only the distinct ones).

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

The square root of 44144064 is about 6644.0999390437. The cubic root of 44144064 is about 353.4197138594.

The spelling of 44144064 in words is "forty-four million, one hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 173 192 288 346 443 519 576 692 886 1038 1329 1384 1557 1772 2076 2658 2768 3114 3544 3987 4152 5316 5536 6228 7088 7974 8304 10632 11072 12456 14176 15948 16608 21264 24912 28352 31896 33216 42528 49824 63792 76639 85056 99648 127584 153278 229917 255168 306556 459834 613112 689751 919668 1226224 1379502 1839336 2452448 2759004 3678672 4904896 5518008 7357344 11036016 14714688 22072032 44144064