Search a number
-
+
9968244 = 223111337157
BaseRepresentation
bin100110000001…
…101001110100
3200202102212020
4212001221310
510022440434
6553353140
7150504636
oct46015164
920672766
109968244
115699320
1234087b0
1320b0290
141476a56
15d1d849
hex981a74

9968244 has 96 divisors (see below), whose sum is σ = 28242816. Its totient is φ = 2695680.

The previous prime is 9968243. The next prime is 9968261. The reversal of 9968244 is 4428699.

It is a junction number, because it is equal to n+sod(n) for n = 9968196 and 9968205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9968243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63414 + ... + 63570.

It is an arithmetic number, because the mean of its divisors is an integer number (294196).

Almost surely, 29968244 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 9968244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14121408).

9968244 is an abundant number, since it is smaller than the sum of its proper divisors (18274572).

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

9968244 is a wasteful number, since it uses less digits than its factorization.

9968244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 223 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 9968244 is about 3157.2526031346. The cubic root of 9968244 is about 215.2151730801.

The spelling of 9968244 in words is "nine million, nine hundred sixty-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 37 39 44 52 66 74 78 111 132 143 148 156 157 222 286 314 407 429 444 471 481 572 628 814 858 942 962 1221 1443 1628 1716 1727 1884 1924 2041 2442 2886 3454 4082 4884 5181 5291 5772 5809 6123 6908 8164 10362 10582 11618 12246 15873 17427 20724 21164 22451 23236 24492 31746 34854 44902 63492 63899 67353 69708 75517 89804 127798 134706 151034 191697 226551 255596 269412 302068 383394 453102 766788 830687 906204 1661374 2492061 3322748 4984122 9968244