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1468937448 = 2332114343133
BaseRepresentation
bin101011110001110…
…0011010011101000
310210101001202100200
41113203203103220
511002021444243
6401432232200
751254522316
oct12743432350
93711052320
101468937448
116941a44a0
1234bb3b660
131a5437774
14dd1390b6
1588e60ad3
hex578e34e8

1468937448 has 96 divisors (see below), whose sum is σ = 4441076640. Its totient is φ = 434770560.

The previous prime is 1468937447. The next prime is 1468937467. The reversal of 1468937448 is 8447398641.

1468937448 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14689374482 = 4315554452273505408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1468937394 and 1468937403.

It is not an unprimeable number, because it can be changed into a prime (1468937441) 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, 12490 + ... + 55622.

It is an arithmetic number, because the mean of its divisors is an integer number (46261215).

Almost surely, 21468937448 is an apocalyptic number.

1468937448 is a gapful number since it is divisible by the number (18) 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 1468937448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220538320).

1468937448 is an abundant number, since it is smaller than the sum of its proper divisors (2972139192).

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

1468937448 is a wasteful number, since it uses less digits than its factorization.

1468937448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43199 (or 43192 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 1468937448 is about 38326.7197657196. The cubic root of 1468937448 is about 1136.7573410674.

The spelling of 1468937448 in words is "one billion, four hundred sixty-eight million, nine hundred thirty-seven thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 43 44 66 72 86 88 99 129 132 172 198 258 264 344 387 396 473 516 774 792 946 1032 1419 1548 1892 2838 3096 3784 4257 5676 8514 11352 17028 34056 43133 86266 129399 172532 258798 345064 388197 474463 517596 776394 948926 1035192 1423389 1552788 1854719 1897852 2846778 3105576 3709438 3795704 4270167 5564157 5693556 7418876 8540334 11128314 11387112 14837752 16692471 17080668 20401909 22256628 33384942 34161336 40803818 44513256 61205727 66769884 81607636 122411454 133539768 163215272 183617181 244822908 367234362 489645816 734468724 1468937448