Search a number
-
+
8994768 = 2431773151
BaseRepresentation
bin100010010011…
…111111010000
3121220222111120
4202103333100
54300313033
6520442240
7136311546
oct42237720
917828446
108994768
1150939a2
123019380
131b2c163
1412a1d96
15bca1b3
hex893fd0

8994768 has 80 divisors (see below), whose sum is σ = 25105536. Its totient is φ = 2764800.

The previous prime is 8994767. The next prime is 8994779. The reversal of 8994768 is 8674998.

It is a happy number.

8994768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (870912) is a multiple of the sum of its prime factors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 8994768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8994767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59493 + ... + 59643.

Almost surely, 28994768 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 8994768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12552768).

8994768 is an abundant number, since it is smaller than the sum of its proper divisors (16110768).

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

8994768 is a wasteful number, since it uses less digits than its factorization.

8994768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 8994768 is about 2999.1278732325. The cubic root of 8994768 is about 207.9680670899.

The spelling of 8994768 in words is "eight million, nine hundred ninety-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 73 102 136 146 151 204 219 272 292 302 408 438 453 584 604 816 876 906 1168 1208 1241 1752 1812 2416 2482 2567 3504 3624 3723 4964 5134 7248 7446 7701 9928 10268 11023 14892 15402 19856 20536 22046 29784 30804 33069 41072 44092 59568 61608 66138 88184 123216 132276 176368 187391 264552 374782 529104 562173 749564 1124346 1499128 2248692 2998256 4497384 8994768