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44039424 = 2831113401
BaseRepresentation
bin1010011111111…
…1110100000000
310001212102201210
42213333310000
542233230144
64211530120
71043220552
oct247776400
9101772653
1044039424
112294a520
12128b9940
13917c340
145bc54d2
153cedab9
hex29ffd00

44039424 has 144 divisors (see below), whose sum is σ = 138043584. Its totient is φ = 12288000.

The previous prime is 44039407. The next prime is 44039431. The reversal of 44039424 is 42493044.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 44039391 and 44039400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109624 + ... + 110024.

It is an arithmetic number, because the mean of its divisors is an integer number (958636).

Almost surely, 244039424 is an apocalyptic number.

44039424 is a gapful number since it is divisible by the number (44) 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 44039424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69021792).

44039424 is an abundant number, since it is smaller than the sum of its proper divisors (94004160).

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

44039424 is a wasteful number, since it uses less digits than its factorization.

44039424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 44039424 is about 6636.2206111611. The cubic root of 44039424 is about 353.1402417939.

The spelling of 44039424 in words is "forty-four million, thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 256 264 286 312 352 384 401 416 429 528 572 624 704 768 802 832 858 1056 1144 1203 1248 1408 1604 1664 1716 2112 2288 2406 2496 2816 3208 3328 3432 4224 4411 4576 4812 4992 5213 6416 6864 8448 8822 9152 9624 9984 10426 12832 13233 13728 15639 17644 18304 19248 20852 25664 26466 27456 31278 35288 36608 38496 41704 51328 52932 54912 57343 62556 70576 76992 83408 102656 105864 109824 114686 125112 141152 153984 166816 172029 211728 229372 250224 282304 307968 333632 344058 423456 458744 500448 564608 667264 688116 846912 917488 1000896 1129216 1334528 1376232 1693824 1834976 2001792 2752464 3387648 3669952 4003584 5504928 7339904 11009856 14679808 22019712 44039424