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48321360 = 243457457
BaseRepresentation
bin1011100001010…
…1001101010000
310100220222110000
42320111031100
544332240420
64443410000
71124503413
oct270251520
9110828400
1048321360
112530460a
1214223900
13a01b329
1465bbb7a
154397690
hex2e15350

48321360 has 100 divisors (see below), whose sum is σ = 167849748. Its totient is φ = 12883968.

The previous prime is 48321353. The next prime is 48321391. The reversal of 48321360 is 6312384.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15968016 + 32353344 = 3996^2 + 5688^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2752 + ... + 10208.

Almost surely, 248321360 is an apocalyptic number.

48321360 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 48321360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83924874).

48321360 is an abundant number, since it is smaller than the sum of its proper divisors (119528388).

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

48321360 is a wasteful number, since it uses less digits than its factorization.

48321360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7482 (or 7467 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 48321360 is about 6951.3567021122. The cubic root of 48321360 is about 364.2333567856.

The spelling of 48321360 in words is "forty-eight million, three hundred twenty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 7457 14914 22371 29828 37285 44742 59656 67113 74570 89484 111855 119312 134226 149140 178968 201339 223710 268452 298280 335565 357936 402678 447420 536904 596560 604017 671130 805356 894840 1006695 1073808 1208034 1342260 1610712 1789680 2013390 2416068 2684520 3020085 3221424 4026780 4832136 5369040 6040170 8053560 9664272 12080340 16107120 24160680 48321360