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9998856 = 2333717389
BaseRepresentation
bin100110001001…
…001000001000
3200210222212000
4212021020020
510024430411
6554151000
7150663120
oct46111010
920728760
109998856
11570a31a
123422460
1320c11aa
141483c80
15d27956
hex989208

9998856 has 128 divisors (see below), whose sum is σ = 33696000. Its totient is φ = 2681856.

The previous prime is 9998851. The next prime is 9998861. The reversal of 9998856 is 6588999.

It is an interprime number because it is at equal distance from previous prime (9998851) and next prime (9998861).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (9998851) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 25510 + ... + 25898.

It is an arithmetic number, because the mean of its divisors is an integer number (263250).

Almost surely, 29998856 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 9998856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848000).

9998856 is an abundant number, since it is smaller than the sum of its proper divisors (23697144).

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

9998856 is a wasteful number, since it uses less digits than its factorization.

9998856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 418 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 54.

The square root of 9998856 is about 3162.0967727127. The cubic root of 9998856 is about 215.4352531123.

The spelling of 9998856 in words is "nine million, nine hundred ninety-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 389 408 459 476 504 612 714 756 778 918 952 1071 1167 1224 1428 1512 1556 1836 2142 2334 2723 2856 3112 3213 3501 3672 4284 4668 5446 6426 6613 7002 8169 8568 9336 10503 10892 12852 13226 14004 16338 19839 21006 21784 24507 25704 26452 28008 32676 39678 42012 46291 49014 52904 59517 65352 73521 79356 84024 92582 98028 119034 138873 147042 158712 178551 185164 196056 238068 277746 294084 357102 370328 416619 476136 555492 588168 714204 833238 1110984 1249857 1428408 1666476 2499714 3332952 4999428 9998856