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4249440 = 2532513227
BaseRepresentation
bin10000001101011101100000
321222220010200
4100031131200
52041440230
6231025200
751056016
oct20153540
97886120
104249440
112442738
12150b200
13b5a280
147c88b6
1558e160
hex40d760

4249440 has 144 divisors (see below), whose sum is σ = 15685488. Its totient is φ = 1041408.

The previous prime is 4249433. The next prime is 4249447. The reversal of 4249440 is 449424.

It is an interprime number because it is at equal distance from previous prime (4249433) and next prime (4249447).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4249447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18607 + ... + 18833.

It is an arithmetic number, because the mean of its divisors is an integer number (108927).

Almost surely, 24249440 is an apocalyptic number.

4249440 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 4249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842744).

4249440 is an abundant number, since it is smaller than the sum of its proper divisors (11436048).

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

4249440 is a wasteful number, since it uses less digits than its factorization.

4249440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4249440 is about 2061.4169883844. The cubic root of 4249440 is about 161.9734753098.

The spelling of 4249440 in words is "four million, two hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 227 234 240 260 288 312 360 390 416 454 468 480 520 585 624 681 720 780 908 936 1040 1135 1170 1248 1362 1440 1560 1816 1872 2043 2080 2270 2340 2724 2951 3120 3405 3632 3744 4086 4540 4680 5448 5902 6240 6810 7264 8172 8853 9080 9360 10215 10896 11804 13620 14755 16344 17706 18160 18720 20430 21792 23608 26559 27240 29510 32688 35412 36320 40860 44265 47216 53118 54480 59020 65376 70824 81720 88530 94432 106236 108960 118040 132795 141648 163440 177060 212472 236080 265590 283296 326880 354120 424944 472160 531180 708240 849888 1062360 1416480 2124720 4249440