Search a number
-
+
9938984 = 2311532131
BaseRepresentation
bin100101111010…
…100000101000
3200200221201112
4211322200220
510021021414
6553005452
7150323426
oct45724050
920627645
109938984
115679340
1233b3888
13209cb73
14146a116
15d14d3e
hex97a828

9938984 has 32 divisors (see below), whose sum is σ = 20723040. Its totient is φ = 4430400.

The previous prime is 9938983. The next prime is 9938989. The reversal of 9938984 is 4898399.

It is not an unprimeable number, because it can be changed into a prime (9938983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3599 + ... + 5729.

It is an arithmetic number, because the mean of its divisors is an integer number (647595).

Almost surely, 29938984 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 9938984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10361520).

9938984 is an abundant number, since it is smaller than the sum of its proper divisors (10784056).

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

9938984 is a wasteful number, since it uses less digits than its factorization.

9938984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2197 counting only the distinct ones).

The product of its digits is 559872, while the sum is 50.

The square root of 9938984 is about 3152.6154221535. The cubic root of 9938984 is about 215.0043914733.

The spelling of 9938984 in words is "nine million, nine hundred thirty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 22 44 53 88 106 212 424 583 1166 2131 2332 4262 4664 8524 17048 23441 46882 93764 112943 187528 225886 451772 903544 1242373 2484746 4969492 9938984