Search a number
-
+
4412672 = 28111567
BaseRepresentation
bin10000110101010100000000
322022012001022
4100311110000
52112201142
6234325012
752335635
oct20652400
98265038
104412672
112544340
121589768
13bb6664
1482c18c
155c26d2
hex435500

4412672 has 36 divisors (see below), whose sum is σ = 9614976. Its totient is φ = 2004480.

The previous prime is 4412671. The next prime is 4412713. The reversal of 4412672 is 2762144.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412671) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2033 + ... + 3599.

Almost surely, 24412672 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 4412672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4807488).

4412672 is an abundant number, since it is smaller than the sum of its proper divisors (5202304).

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

4412672 is a wasteful number, since it uses less digits than its factorization.

4412672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1580 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 4412672 is about 2100.6360941391. The cubic root of 4412672 is about 164.0214130280.

It can be divided in two parts, 441 and 2672, that added together give a palindrome (3113).

The spelling of 4412672 in words is "four million, four hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 1567 2816 3134 6268 12536 17237 25072 34474 50144 68948 100288 137896 200576 275792 401152 551584 1103168 2206336 4412672