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44025930 = 23451337113
BaseRepresentation
bin1010011111110…
…0100001001010
310001211202020000
42213330201022
542232312210
64211343430
71043133324
oct247744112
9101752200
1044025930
1122940373
12128b1b76
139176160
145bc0614
153ce9ac0
hex29fc84a

44025930 has 160 divisors (see below), whose sum is σ = 132091344. Its totient is φ = 10450944.

The previous prime is 44025871. The next prime is 44025931. The reversal of 44025930 is 3952044.

44025930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7338681 + 36687249 = 2709^2 + 6057^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 44025894 and 44025903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44025931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 389554 + ... + 389666.

Almost surely, 244025930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44025930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66045672).

44025930 is an abundant number, since it is smaller than the sum of its proper divisors (88065414).

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

44025930 is a wasteful number, since it uses less digits than its factorization.

44025930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 44025930 is about 6635.2038401243. The cubic root of 44025930 is about 353.1041698627.

Adding to 44025930 its reverse (3952044), we get a palindrome (47977974).

The spelling of 44025930 in words is "forty-four million, twenty-five thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 37 39 45 54 65 74 78 81 90 111 113 117 130 135 162 185 195 222 226 234 270 333 339 351 370 390 405 481 555 565 585 666 678 702 810 962 999 1017 1053 1110 1130 1170 1443 1469 1665 1695 1755 1998 2034 2106 2405 2886 2938 2997 3051 3330 3390 3510 4181 4329 4407 4810 4995 5085 5265 5994 6102 7215 7345 8362 8658 8814 9153 9990 10170 10530 12543 12987 13221 14430 14690 14985 15255 18306 20905 21645 22035 25086 25974 26442 29970 30510 37629 38961 39663 41810 43290 44070 45765 54353 62715 64935 66105 75258 77922 79326 91530 108706 112887 118989 125430 129870 132210 163059 188145 194805 198315 225774 237978 271765 326118 338661 376290 389610 396630 489177 543530 564435 594945 677322 815295 978354 1128870 1189890 1467531 1630590 1693305 2445885 2935062 3386610 4402593 4891770 7337655 8805186 14675310 22012965 44025930