Search a number
-
+
8249088 = 28323467
BaseRepresentation
bin11111011101111100000000
3120112002121210
4133131330000
54102432323
6452450120
7130054551
oct37357400
916462553
108249088
114724731
122919940
13192a923
14114a328
15ace293
hex7ddf00

8249088 has 72 divisors (see below), whose sum is σ = 22958208. Its totient is φ = 2624512.

The previous prime is 8249081. The next prime is 8249089. The reversal of 8249088 is 8809428.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8249081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17431 + ... + 17897.

It is an arithmetic number, because the mean of its divisors is an integer number (318864).

Almost surely, 28249088 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 8249088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11479104).

8249088 is an abundant number, since it is smaller than the sum of its proper divisors (14709120).

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

8249088 is a wasteful number, since it uses less digits than its factorization.

8249088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 8249088 is about 2872.1225600590. The cubic root of 8249088 is about 202.0545550781.

The spelling of 8249088 in words is "eight million, two hundred forty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 467 552 736 768 934 1104 1401 1472 1868 2208 2802 2944 3736 4416 5604 5888 7472 8832 10741 11208 14944 17664 21482 22416 29888 32223 42964 44832 59776 64446 85928 89664 119552 128892 171856 179328 257784 343712 358656 515568 687424 1031136 1374848 2062272 2749696 4124544 8249088