Search a number
-
+
8274096 = 2433107179
BaseRepresentation
bin11111100100000010110000
3120120100221000
4133210002300
54104232341
6453202000
7130220505
oct37440260
916510830
108274096
1147414a6
122930300
13193911c
1411554ac
15ad68b6
hex7e40b0

8274096 has 80 divisors (see below), whose sum is σ = 24105600. Its totient is φ = 2716992.

The previous prime is 8274083. The next prime is 8274107. The reversal of 8274096 is 6904728.

It is a super-3 number, since 3×82740963 (a number of 22 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8274096.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46135 + ... + 46313.

It is an arithmetic number, because the mean of its divisors is an integer number (301320).

Almost surely, 28274096 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 8274096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12052800).

8274096 is an abundant number, since it is smaller than the sum of its proper divisors (15831504).

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

8274096 is a wasteful number, since it uses less digits than its factorization.

8274096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8274096 is about 2876.4728401290. The cubic root of 8274096 is about 202.2585324826.

The spelling of 8274096 in words is "eight million, two hundred seventy-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 179 214 216 321 358 428 432 537 642 716 856 963 1074 1284 1432 1611 1712 1926 2148 2568 2864 2889 3222 3852 4296 4833 5136 5778 6444 7704 8592 9666 11556 12888 15408 19153 19332 23112 25776 38306 38664 46224 57459 76612 77328 114918 153224 172377 229836 306448 344754 459672 517131 689508 919344 1034262 1379016 2068524 2758032 4137048 8274096