Search a number
-
+
99427824 = 2435107239
BaseRepresentation
bin1011110110100…
…10010111110000
320221002110100000
411323102113300
5200423142244
613511030000
72315060016
oct573222760
9227073300
1099427824
1151140661
122936b300
13177a3242
14d2c28b6
158ae0169
hex5ed25f0

99427824 has 120 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 32695488.

The previous prime is 99427777. The next prime is 99427831. The reversal of 99427824 is 42872499.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 99427824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415897 + ... + 416135.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 299427824 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 99427824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

99427824 is an abundant number, since it is smaller than the sum of its proper divisors (193053456).

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

99427824 is a wasteful number, since it uses less digits than its factorization.

99427824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 351 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 99427824 is about 9971.3501593315. The cubic root of 99427824 is about 463.2719209647.

It can be divided in two parts, 9942 and 7824, that added together give a triangular number (17766 = T188).

The spelling of 99427824 in words is "ninety-nine million, four hundred twenty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 107 108 144 162 214 216 239 243 321 324 428 432 478 486 642 648 717 856 956 963 972 1284 1296 1434 1712 1912 1926 1944 2151 2568 2868 2889 3824 3852 3888 4302 5136 5736 5778 6453 7704 8604 8667 11472 11556 12906 15408 17208 17334 19359 23112 25573 25812 26001 34416 34668 38718 46224 51146 51624 52002 58077 69336 76719 77436 102292 103248 104004 116154 138672 153438 154872 204584 208008 230157 232308 306876 309744 409168 416016 460314 464616 613752 690471 920628 929232 1227504 1380942 1841256 2071413 2761884 3682512 4142826 5523768 6214239 8285652 11047536 12428478 16571304 24856956 33142608 49713912 99427824