Search a number
-
+
4454272 = 27172389
BaseRepresentation
bin10000111111011110000000
322101022010001
4100333132000
52120014042
6235245344
752601134
oct20773600
98338101
104454272
112572619
1215a9854
13bcc584
1483d3c4
155cebb7
hex43f780

4454272 has 64 divisors (see below), whose sum is σ = 9914400. Its totient is φ = 1982464.

The previous prime is 4454269. The next prime is 4454273. The reversal of 4454272 is 2724544.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 4454272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4454273) by changing a digit.

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, 50004 + ... + 50092.

Almost surely, 24454272 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 4454272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4957200).

4454272 is an abundant number, since it is smaller than the sum of its proper divisors (5460128).

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

4454272 is a wasteful number, since it uses less digits than its factorization.

4454272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its digits is 8960, while the sum is 28.

The square root of 4454272 is about 2110.5146291841. The cubic root of 4454272 is about 164.5352332583.

It can be divided in two parts, 4 and 454272, that added together give a square (454276 = 6742).

The spelling of 4454272 in words is "four million, four hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 89 92 128 136 178 184 272 356 368 391 544 712 736 782 1088 1424 1472 1513 1564 2047 2176 2848 2944 3026 3128 4094 5696 6052 6256 8188 11392 12104 12512 16376 24208 25024 32752 34799 48416 50048 65504 69598 96832 131008 139196 193664 262016 278392 556784 1113568 2227136 4454272