Search a number
-
+
8944272 = 2432179347
BaseRepresentation
bin100010000111…
…101010010000
3121211102020100
4202013222100
54242204042
6515412400
7136011411
oct42075220
917742210
108944272
115059a67
122bb4100
131b1218c
14128b808
15bba24c
hex887a90

8944272 has 60 divisors (see below), whose sum is σ = 25243920. Its totient is φ = 2956224.

The previous prime is 8944259. The next prime is 8944279. The reversal of 8944272 is 2724498.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8944279) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25603 + ... + 25949.

It is an arithmetic number, because the mean of its divisors is an integer number (420732).

Almost surely, 28944272 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 8944272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12621960).

8944272 is an abundant number, since it is smaller than the sum of its proper divisors (16299648).

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

8944272 is a wasteful number, since it uses less digits than its factorization.

8944272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 531 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 8944272 is about 2990.6975774892. The cubic root of 8944272 is about 207.5781638075.

It can be divided in two parts, 8944 and 272, that added together give a square (9216 = 962).

The spelling of 8944272 in words is "eight million, nine hundred forty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 179 347 358 537 694 716 1041 1074 1388 1432 1611 2082 2148 2776 2864 3123 3222 4164 4296 5552 6246 6444 8328 8592 12492 12888 16656 24984 25776 49968 62113 124226 186339 248452 372678 496904 559017 745356 993808 1118034 1490712 2236068 2981424 4472136 8944272