Search a number
-
+
4946368 = 26761181
BaseRepresentation
bin10010110111100111000000
3100022022010211
4102313213000
52231240433
6254003504
760020620
oct22674700
910268124
104946368
112879309
1217a6594
13104255b
1492a880
1567a8cd
hex4b79c0

4946368 has 56 divisors (see below), whose sum is σ = 11464544. Its totient is φ = 2073600.

The previous prime is 4946351. The next prime is 4946387. The reversal of 4946368 is 8636494.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 4946368.

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 7 ways as a sum of consecutive naturals, for example, 27238 + ... + 27418.

It is an arithmetic number, because the mean of its divisors is an integer number (204724).

Almost surely, 24946368 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 4946368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5732272).

4946368 is an abundant number, since it is smaller than the sum of its proper divisors (6518176).

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

4946368 is a wasteful number, since it uses less digits than its factorization.

4946368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The square root of 4946368 is about 2224.0431650487. The cubic root of 4946368 is about 170.3839993205.

The spelling of 4946368 in words is "four million, nine hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 181 224 244 362 427 448 488 724 854 976 1267 1448 1708 1952 2534 2896 3416 3904 5068 5792 6832 10136 11041 11584 13664 20272 22082 27328 40544 44164 77287 81088 88328 154574 176656 309148 353312 618296 706624 1236592 2473184 4946368