Search a number
-
+
9978252 = 22317411193
BaseRepresentation
bin100110000100…
…000110001100
3200202221120220
4212010012030
510023301002
6553511340
7150546054
oct46040614
920687526
109978252
1156a5899
123412550
1320b49bb
14147a564
15d217bc
hex98418c

9978252 has 48 divisors (see below), whose sum is σ = 25274592. Its totient is φ = 3051520.

The previous prime is 9978229. The next prime is 9978277. The reversal of 9978252 is 2528799.

It is a d-powerful number, because it can be written as 97 + 97 + 76 + 83 + 214 + 56 + 218 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7768 + ... + 8960.

It is an arithmetic number, because the mean of its divisors is an integer number (526554).

Almost surely, 29978252 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 9978252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12637296).

9978252 is an abundant number, since it is smaller than the sum of its proper divisors (15296340).

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

9978252 is a wasteful number, since it uses less digits than its factorization.

9978252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1256 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 9978252 is about 3158.8371278051. The cubic root of 9978252 is about 215.2871734924.

The spelling of 9978252 in words is "nine million, nine hundred seventy-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 492 697 1193 1394 2091 2386 2788 3579 4182 4772 7158 8364 14316 20281 40562 48913 60843 81124 97826 121686 146739 195652 243372 293478 586956 831521 1663042 2494563 3326084 4989126 9978252