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4248960 = 27352213
BaseRepresentation
bin10000001101010110000000
321222212110220
4100031112000
52041431320
6231023040
751054432
oct20152600
97885426
104248960
112442341
12150aa80
13b59ca1
147c8652
1558de40
hex40d580

4248960 has 64 divisors (see below), whose sum is σ = 13549680. Its totient is φ = 1132544.

The previous prime is 4248947. The next prime is 4248967. The reversal of 4248960 is 698424.

4248960 = T191 + T192 + ... + T318.

4248960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×42489602 = 36107322163200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4248967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 814 + ... + 3026.

Almost surely, 24248960 is an apocalyptic number.

4248960 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 4248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6774840).

4248960 is an abundant number, since it is smaller than the sum of its proper divisors (9300720).

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

4248960 is a wasteful number, since it uses less digits than its factorization.

4248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4248960 is about 2061.3005603259. The cubic root of 4248960 is about 161.9673764516.

The spelling of 4248960 in words is "four million, two hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2213 4426 6639 8852 11065 13278 17704 22130 26556 33195 35408 44260 53112 66390 70816 88520 106224 132780 141632 177040 212448 265560 283264 354080 424896 531120 708160 849792 1062240 1416320 2124480 4248960