Search a number
-
+
8281152 = 2632111307
BaseRepresentation
bin11111100101110001000000
3120120201121100
4133211301000
54104444102
6453254400
7130250205
oct37456100
916521540
108281152
114746830
122934400
13193c3b9
141157cac
15ad8a1c
hex7e5c40

8281152 has 84 divisors (see below), whose sum is σ = 25914096. Its totient is φ = 2507520.

The previous prime is 8281129. The next prime is 8281157. The reversal of 8281152 is 2511828.

It is not an unprimeable number, because it can be changed into a prime (8281157) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5683 + ... + 6989.

Almost surely, 28281152 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 8281152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12957048).

8281152 is an abundant number, since it is smaller than the sum of its proper divisors (17632944).

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

8281152 is a wasteful number, since it uses less digits than its factorization.

8281152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1323 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 8281152 is about 2877.6990808630. The cubic root of 8281152 is about 202.3160102912.

The spelling of 8281152 in words is "eight million, two hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1307 1584 2112 2614 3168 3921 5228 6336 7842 10456 11763 14377 15684 20912 23526 28754 31368 41824 43131 47052 57508 62736 83648 86262 94104 115016 125472 129393 172524 188208 230032 250944 258786 345048 376416 460064 517572 690096 752832 920128 1035144 1380192 2070288 2760384 4140576 8281152