Search a number
-
+
8416272 = 243672617
BaseRepresentation
bin100000000110…
…110000010000
3120211120221210
4200012300100
54123310042
6500220120
7131352144
oct40066020
916746853
108416272
1148292a7
12299a640
131988a57
141191224
15b13a9c
hex806c10

8416272 has 40 divisors (see below), whose sum is σ = 22074976. Its totient is φ = 2762496.

The previous prime is 8416267. The next prime is 8416273. The reversal of 8416272 is 2726148.

8416272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 8 + 45 + 1 + 65 + 211 + 75 + 223 .

It is not an unprimeable number, because it can be changed into a prime (8416273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1908 + ... + 4524.

Almost surely, 28416272 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 8416272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11037488).

8416272 is an abundant number, since it is smaller than the sum of its proper divisors (13658704).

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

8416272 is a wasteful number, since it uses less digits than its factorization.

8416272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2689 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 8416272 is about 2901.0811777680. The cubic root of 8416272 is about 203.4104470269.

The spelling of 8416272 in words is "eight million, four hundred sixteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 2617 3216 5234 7851 10468 15702 20936 31404 41872 62808 125616 175339 350678 526017 701356 1052034 1402712 2104068 2805424 4208136 8416272