Search a number
-
+
9998208 = 273311263
BaseRepresentation
bin100110001000…
…111110000000
3200210221222000
4212020332000
510024420313
6554144000
7150661203
oct46107600
920727860
109998208
115709890
123422000
1320c0acc
14148393a
15d27673
hex988f80

9998208 has 128 divisors (see below), whose sum is σ = 32313600. Its totient is φ = 3018240.

The previous prime is 9998207. The next prime is 9998239. The reversal of 9998208 is 8028999.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×99982082 = 199928326422528, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9998201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37885 + ... + 38147.

It is an arithmetic number, because the mean of its divisors is an integer number (252450).

Almost surely, 29998208 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 9998208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16156800).

9998208 is an abundant number, since it is smaller than the sum of its proper divisors (22315392).

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

9998208 is a wasteful number, since it uses less digits than its factorization.

9998208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 9998208 is about 3161.9943073953. The cubic root of 9998208 is about 215.4305990778.

The spelling of 9998208 in words is "nine million, nine hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 263 264 288 297 352 384 396 432 526 528 576 594 704 789 792 864 1052 1056 1152 1188 1408 1578 1584 1728 2104 2112 2367 2376 2893 3156 3168 3456 4208 4224 4734 4752 5786 6312 6336 7101 8416 8679 9468 9504 11572 12624 12672 14202 16832 17358 18936 19008 23144 25248 26037 28404 33664 34716 37872 38016 46288 50496 52074 56808 69432 75744 78111 92576 100992 104148 113616 138864 151488 156222 185152 208296 227232 277728 302976 312444 370304 416592 454464 555456 624888 833184 908928 1110912 1249776 1666368 2499552 3332736 4999104 9998208