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48483468 = 223311371103
BaseRepresentation
bin1011100011110…
…0110010001100
310101020012211000
42320330302030
544402432333
64451100300
71126050135
oct270746214
9111205730
1048483468
1125405390
12142a1690
13a077057
146620c8c
1543ca713
hex2e3cc8c

48483468 has 96 divisors (see below), whose sum is σ = 140958720. Its totient is φ = 14281920.

The previous prime is 48483437. The next prime is 48483481. The reversal of 48483468 is 86438484.

48483468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43405 + ... + 44507.

It is an arithmetic number, because the mean of its divisors is an integer number (1468320).

Almost surely, 248483468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48483468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70479360).

48483468 is an abundant number, since it is smaller than the sum of its proper divisors (92475252).

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

48483468 is a wasteful number, since it uses less digits than its factorization.

48483468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1156 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 48483468 is about 6963.0071090011. The cubic root of 48483468 is about 364.6402109234.

The spelling of 48483468 in words is "forty-eight million, four hundred eighty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 37 44 54 66 74 99 108 111 132 148 198 222 297 333 396 407 444 594 666 814 999 1103 1188 1221 1332 1628 1998 2206 2442 3309 3663 3996 4412 4884 6618 7326 9927 10989 12133 13236 14652 19854 21978 24266 29781 36399 39708 40811 43956 48532 59562 72798 81622 109197 119124 122433 145596 163244 218394 244866 327591 367299 436788 448921 489732 655182 734598 897842 1101897 1310364 1346763 1469196 1795684 2203794 2693526 4040289 4407588 5387052 8080578 12120867 16161156 24241734 48483468