Search a number
-
+
4451972 = 2272331223
BaseRepresentation
bin10000111110111010000100
322101011221212
4100332322010
52114430342
6235230552
752561340
oct20767204
98334855
104451972
112570918
1215a8458
13bcb505
1483c620
155ce182
hex43ee84

4451972 has 48 divisors (see below), whose sum is σ = 9633792. Its totient is φ = 1758240.

The previous prime is 4451957. The next prime is 4451983. The reversal of 4451972 is 2791544.

It is a happy number.

Its product of digits (10080) is a multiple of the sum of its prime factors (288).

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 15 ways as a sum of consecutive naturals, for example, 19853 + ... + 20075.

It is an arithmetic number, because the mean of its divisors is an integer number (200704).

Almost surely, 24451972 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 4451972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4816896).

4451972 is an abundant number, since it is smaller than the sum of its proper divisors (5181820).

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

4451972 is a wasteful number, since it uses less digits than its factorization.

4451972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 286 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 4451972 is about 2109.9696680284. The cubic root of 4451972 is about 164.5069086753.

The spelling of 4451972 in words is "four million, four hundred fifty-one thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 23 28 31 46 62 92 124 161 217 223 322 434 446 644 713 868 892 1426 1561 2852 3122 4991 5129 6244 6913 9982 10258 13826 19964 20516 27652 35903 48391 71806 96782 143612 158999 193564 317998 635996 1112993 2225986 4451972