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4388768 = 25236789
BaseRepresentation
bin10000101111011110100000
322020222020222
4100233132200
52110420033
6234022212
752206146
oct20573640
98228228
104388768
11252838a
121577968
13ba8807
14823596
155ba598
hex42f7a0

4388768 has 48 divisors (see below), whose sum is σ = 9253440. Its totient is φ = 2044416.

The previous prime is 4388749. The next prime is 4388779. The reversal of 4388768 is 8678834.

It is a happy number.

4388768 is nontrivially palindromic in base 9.

It is a super-2 number, since 2×43887682 = 38522569115648, which contains 22 as substring.

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, 49268 + ... + 49356.

It is an arithmetic number, because the mean of its divisors is an integer number (192780).

Almost surely, 24388768 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 4388768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626720).

4388768 is an abundant number, since it is smaller than the sum of its proper divisors (4864672).

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

4388768 is a wasteful number, since it uses less digits than its factorization.

4388768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 181 counting only the distinct ones).

The product of its digits is 258048, while the sum is 44.

The square root of 4388768 is about 2094.9386625866. The cubic root of 4388768 is about 163.7247017228.

The spelling of 4388768 in words is "four million, three hundred eighty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 67 89 92 134 178 184 268 356 368 536 712 736 1072 1424 1541 2047 2144 2848 3082 4094 5963 6164 8188 11926 12328 16376 23852 24656 32752 47704 49312 65504 95408 137149 190816 274298 548596 1097192 2194384 4388768