Search a number
-
+
4893728 = 25723121
BaseRepresentation
bin10010101010110000100000
3100012121221012
4102222300200
52223044403
6252520052
756411300
oct22526040
910177835
104893728
112842804
121780028
1310245c8
14915600
15669ed8
hex4aac20

4893728 has 36 divisors (see below), whose sum is σ = 11211102. Its totient is φ = 2096640.

The previous prime is 4893727. The next prime is 4893737. The reversal of 4893728 is 8273984.

It can be written as a sum of positive squares in only one way, i.e., 4892944 + 784 = 2212^2 + 28^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4893727) 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, 8 + ... + 3128.

Almost surely, 24893728 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 4893728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605551).

4893728 is an abundant number, since it is smaller than the sum of its proper divisors (6317374).

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

4893728 is a wasteful number, since it uses less digits than its factorization.

4893728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145 (or 3130 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 4893728 is about 2212.1772080916. The cubic root of 4893728 is about 169.7774249805. Note that the first 3 decimals are identical.

It can be divided in two parts, 48 and 93728, that multiplied together give a palindrome (4498944).

The spelling of 4893728 in words is "four million, eight hundred ninety-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 3121 6242 12484 21847 24968 43694 49936 87388 99872 152929 174776 305858 349552 611716 699104 1223432 2446864 4893728