Search a number
-
+
8950968 = 23321373131
BaseRepresentation
bin100010001001…
…010010111000
3121211202102100
4202021102320
54242412333
6515503400
7136040055
oct42112270
917752370
108950968
115063aa4
122bb7b60
131b15240
14129002c
15bbc213
hex8894b8

8950968 has 96 divisors (see below), whose sum is σ = 26666640. Its totient is φ = 2695680.

The previous prime is 8950967. The next prime is 8950973. The reversal of 8950968 is 8690598.

8950968 is a `hidden beast` number, since 89 + 509 + 68 = 666.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8950967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68263 + ... + 68393.

Almost surely, 28950968 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 8950968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13333320).

8950968 is an abundant number, since it is smaller than the sum of its proper divisors (17715672).

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

8950968 is a wasteful number, since it uses less digits than its factorization.

8950968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 8950968 is about 2991.8168393135. The cubic root of 8950968 is about 207.6299510174.

The spelling of 8950968 in words is "eight million, nine hundred fifty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 73 78 104 117 131 146 156 219 234 262 292 312 393 438 468 524 584 657 786 876 936 949 1048 1179 1314 1572 1703 1752 1898 2358 2628 2847 3144 3406 3796 4716 5109 5256 5694 6812 7592 8541 9432 9563 10218 11388 13624 15327 17082 19126 20436 22776 28689 30654 34164 38252 40872 57378 61308 68328 76504 86067 114756 122616 124319 172134 229512 248638 344268 372957 497276 688536 745914 994552 1118871 1491828 2237742 2983656 4475484 8950968