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44054040 = 23354773107
BaseRepresentation
bin1010100000001…
…1011000011000
310001220011210010
42220003120120
542234212130
64212121520
71043311302
oct250033030
9101804703
1044054040
112295a4a8
12129062a0
139185ba4
145bca972
153d030b0
hex2a03618

44054040 has 128 divisors (see below), whose sum is σ = 138101760. Its totient is φ = 11234304.

The previous prime is 44053991. The next prime is 44054051. The reversal of 44054040 is 4045044.

It is a junction number, because it is equal to n+sod(n) for n = 44053998 and 44054016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411667 + ... + 411773.

It is an arithmetic number, because the mean of its divisors is an integer number (1078920).

Almost surely, 244054040 is an apocalyptic number.

44054040 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 44054040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69050880).

44054040 is an abundant number, since it is smaller than the sum of its proper divisors (94047720).

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

44054040 is a wasteful number, since it uses less digits than its factorization.

44054040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 44054040 is about 6637.3217490190. The cubic root of 44054040 is about 353.1793047244.

Adding to 44054040 its reverse (4045044), we get a palindrome (48099084).

The spelling of 44054040 in words is "forty-four million, fifty-four thousand, forty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 73 94 107 120 141 146 188 214 219 235 282 292 321 365 376 428 438 470 535 564 584 642 705 730 856 876 940 1070 1095 1128 1284 1410 1460 1605 1752 1880 2140 2190 2568 2820 2920 3210 3431 4280 4380 5029 5640 6420 6862 7811 8760 10058 10293 12840 13724 15087 15622 17155 20116 20586 23433 25145 27448 30174 31244 34310 39055 40232 41172 46866 50290 51465 60348 62488 68620 75435 78110 82344 93732 100580 102930 117165 120696 137240 150870 156220 187464 201160 205860 234330 301740 312440 367117 411720 468660 603480 734234 937320 1101351 1468468 1835585 2202702 2936936 3671170 4405404 5506755 7342340 8810808 11013510 14684680 22027020 44054040