Search a number
-
+
9978528 = 253731479
BaseRepresentation
bin100110000100…
…001010100000
3200202221222010
4212010022200
510023303103
6553512520
7150546630
oct46041240
920687863
109978528
1156a601a
123412740
1320b4b71
14147a6c0
15d21903
hex9842a0

9978528 has 96 divisors (see below), whose sum is σ = 30965760. Its totient is φ = 2753280.

The previous prime is 9978461. The next prime is 9978547. The reversal of 9978528 is 8258799.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a d-powerful number, because it can be written as 97 + 97 + 76 + 85 + 52 + 22 + 86 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20593 + ... + 21071.

It is an arithmetic number, because the mean of its divisors is an integer number (322560).

Almost surely, 29978528 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 9978528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482880).

9978528 is an abundant number, since it is smaller than the sum of its proper divisors (20987232).

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

9978528 is a wasteful number, since it uses less digits than its factorization.

9978528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 522 counting only the distinct ones).

The product of its digits is 362880, while the sum is 48.

The square root of 9978528 is about 3158.8808144658. The cubic root of 9978528 is about 215.2891584330.

The spelling of 9978528 in words is "nine million, nine hundred seventy-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 479 496 651 672 744 868 958 992 1302 1437 1488 1736 1916 2604 2874 2976 3353 3472 3832 5208 5748 6706 6944 7664 10059 10416 11496 13412 14849 15328 20118 20832 22992 26824 29698 40236 44547 45984 53648 59396 80472 89094 103943 107296 118792 160944 178188 207886 237584 311829 321888 356376 415772 475168 623658 712752 831544 1247316 1425504 1663088 2494632 3326176 4989264 9978528