Search a number
-
+
4836128 = 251121249
BaseRepresentation
bin10010011100101100100000
3100002200220212
4102130230200
52214224003
6251353252
756051333
oct22345440
910080825
104836128
112803500
121752828
13100431b
148dc61a
15657dd8
hex49cb20

4836128 has 36 divisors (see below), whose sum is σ = 10473750. Its totient is φ = 2196480.

The previous prime is 4836121. The next prime is 4836131. The reversal of 4836128 is 8216384.

It can be written as a sum of positive squares in only one way, i.e., 4276624 + 559504 = 2068^2 + 748^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4836094 and 4836103.

It is not an unprimeable number, because it can be changed into a prime (4836121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3248 + ... + 4496.

Almost surely, 24836128 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 4836128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5236875).

4836128 is an abundant number, since it is smaller than the sum of its proper divisors (5637622).

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

4836128 is a wasteful number, since it uses less digits than its factorization.

4836128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1262 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 4836128 is about 2199.1198239296. The cubic root of 4836128 is about 169.1086914453.

The spelling of 4836128 in words is "four million, eight hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1249 1936 2498 3872 4996 9992 13739 19984 27478 39968 54956 109912 151129 219824 302258 439648 604516 1209032 2418064 4836128