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4541472 = 2532131213
BaseRepresentation
bin10001010100110000100000
322112201201200
4101110300200
52130311342
6241201200
753413305
oct21246040
98481650
104541472
112622091
121630200
13c30180
148630ac
155ea94c
hex454c20

4541472 has 72 divisors (see below), whose sum is σ = 13919724. Its totient is φ = 1396224.

The previous prime is 4541387. The next prime is 4541477. The reversal of 4541472 is 2741454.

It can be written as a sum of positive squares in 2 ways, for example, as 3549456 + 992016 = 1884^2 + 996^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (4541477) 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 11 ways as a sum of consecutive naturals, for example, 3138 + ... + 4350.

Almost surely, 24541472 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 4541472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6959862).

4541472 is an abundant number, since it is smaller than the sum of its proper divisors (9378252).

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

4541472 is a wasteful number, since it uses less digits than its factorization.

4541472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1231 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 4541472 is about 2131.0729691871. The cubic root of 4541472 is about 165.6019883539.

The spelling of 4541472 in words is "four million, five hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1213 1248 1872 2426 3639 3744 4852 7278 9704 10917 14556 15769 19408 21834 29112 31538 38816 43668 47307 58224 63076 87336 94614 116448 126152 141921 174672 189228 252304 283842 349344 378456 504608 567684 756912 1135368 1513824 2270736 4541472