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28254240 = 2532572803
BaseRepresentation
bin110101111001…
…0000000100000
31222011110112100
41223302000200
524213113430
62445330400
7462104610
oct153620040
958143470
1028254240
1114a48913
129566a00
135b134b1
143a76a40
152731960
hex1af2020

28254240 has 144 divisors (see below), whose sum is σ = 110230848. Its totient is φ = 6455808.

The previous prime is 28254227. The next prime is 28254241. The reversal of 28254240 is 4245282.

It is a happy number.

28254240 is a `hidden beast` number, since 2 + 82 + 542 + 40 = 666.

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 (28254241) 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, 8679 + ... + 11481.

It is an arithmetic number, because the mean of its divisors is an integer number (765492).

Almost surely, 228254240 is an apocalyptic number.

28254240 is a gapful number since it is divisible by the number (20) 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 28254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55115424).

28254240 is an abundant number, since it is smaller than the sum of its proper divisors (81976608).

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

28254240 is a wasteful number, since it uses less digits than its factorization.

28254240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 28254240 is about 5315.4717570504. The cubic root of 28254240 is about 304.5752036662.

The spelling of 28254240 in words is "twenty-eight million, two hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 2803 3360 5040 5606 8409 10080 11212 14015 16818 19621 22424 25227 28030 33636 39242 42045 44848 50454 56060 58863 67272 78484 84090 89696 98105 100908 112120 117726 126135 134544 156968 168180 176589 196210 201816 224240 235452 252270 269088 294315 313936 336360 353178 392420 403632 448480 470904 504540 588630 627872 672720 706356 784840 807264 882945 941808 1009080 1177260 1345440 1412712 1569680 1765890 1883616 2018160 2354520 2825424 3139360 3531780 4036320 4709040 5650848 7063560 9418080 14127120 28254240