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44929440 = 2532541761
BaseRepresentation
bin1010101101100…
…1000110100000
310010112122121100
42223121012200
543000220230
64242554400
71053615423
oct253310640
9103478540
1044929440
11233a8176
1213068a00
13940148a
145d779ba
153e27660
hex2ad91a0

44929440 has 144 divisors (see below), whose sum is σ = 157267656. Its totient is φ = 11673600.

The previous prime is 44929427. The next prime is 44929441. The reversal of 44929440 is 4492944.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8785296 + 36144144 = 2964^2 + 6012^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44929395 and 44929404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44929441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58660 + ... + 59420.

Almost surely, 244929440 is an apocalyptic number.

44929440 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 44929440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78633828).

44929440 is an abundant number, since it is smaller than the sum of its proper divisors (112338216).

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

44929440 is a wasteful number, since it uses less digits than its factorization.

44929440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 44929440 is about 6702.9426373795. The cubic root of 44929440 is about 355.5033262402.

It can be divided in two parts, 44929 and 440, that added together give a square (45369 = 2132).

The spelling of 44929440 in words is "forty-four million, nine hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 41 45 48 60 72 80 82 90 96 120 123 144 160 164 180 205 240 246 288 328 360 369 410 480 492 615 656 720 738 761 820 984 1230 1312 1440 1476 1522 1640 1845 1968 2283 2460 2952 3044 3280 3690 3805 3936 4566 4920 5904 6088 6560 6849 7380 7610 9132 9840 11415 11808 12176 13698 14760 15220 18264 19680 22830 24352 27396 29520 30440 31201 34245 36528 45660 54792 59040 60880 62402 68490 73056 91320 93603 109584 121760 124804 136980 156005 182640 187206 219168 249608 273960 280809 312010 365280 374412 468015 499216 547920 561618 624020 748824 936030 998432 1095840 1123236 1248040 1404045 1497648 1872060 2246472 2496080 2808090 2995296 3744120 4492944 4992160 5616180 7488240 8985888 11232360 14976480 22464720 44929440