Search a number
-
+
8272914 = 2313172367
BaseRepresentation
bin11111100011110000010010
3120120022022020
4133203300102
54104213124
6453152310
7130214166
oct37436022
916508266
108272914
114740621
12292b696
131938720
141154ca6
15ad6379
hex7e3c12

8272914 has 48 divisors (see below), whose sum is σ = 18979968. Its totient is φ = 2389248.

The previous prime is 8272909. The next prime is 8272933. The reversal of 8272914 is 4192728.

It is a happy number.

It is a super-2 number, since 2×82729142 = 136882212102792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22359 + ... + 22725.

It is an arithmetic number, because the mean of its divisors is an integer number (395416).

Almost surely, 28272914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8272914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9489984).

8272914 is an abundant number, since it is smaller than the sum of its proper divisors (10707054).

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

8272914 is a wasteful number, since it uses less digits than its factorization.

8272914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 402 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 8272914 is about 2876.2673728289. The cubic root of 8272914 is about 202.2489007770.

It can be divided in two parts, 827 and 2914, that added together give a triangular number (3741 = T86).

The spelling of 8272914 in words is "eight million, two hundred seventy-two thousand, nine hundred fourteen".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 289 367 442 578 663 734 867 1101 1326 1734 2202 3757 4771 6239 7514 9542 11271 12478 14313 18717 22542 28626 37434 81107 106063 162214 212126 243321 318189 486642 636378 1378819 2757638 4136457 8272914