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4868736 = 27331409
BaseRepresentation
bin10010100100101010000000
3100011100122120
4102210222000
52221244421
6252204240
756245365
oct22445200
910140576
104868736
112825a54
121769680
131016112
1490a46c
156628c6
hex4a4a80

4868736 has 64 divisors (see below), whose sum is σ = 13382400. Its totient is φ = 1566720.

The previous prime is 4868729. The next prime is 4868741. The reversal of 4868736 is 6378684.

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

It is an unprimeable number.

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, 11700 + ... + 12108.

It is an arithmetic number, because the mean of its divisors is an integer number (209100).

Almost surely, 24868736 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 4868736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6691200).

4868736 is an abundant number, since it is smaller than the sum of its proper divisors (8513664).

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

4868736 is a wasteful number, since it uses less digits than its factorization.

4868736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 445 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 4868736 is about 2206.5212439494. The cubic root of 4868736 is about 169.4879169257.

The spelling of 4868736 in words is "four million, eight hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 409 496 744 818 992 1227 1488 1636 1984 2454 2976 3272 3968 4908 5952 6544 9816 11904 12679 13088 19632 25358 26176 38037 39264 50716 52352 76074 78528 101432 152148 157056 202864 304296 405728 608592 811456 1217184 1622912 2434368 4868736