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198842432 = 263125361
BaseRepresentation
bin10111101101000…
…01100001000000
3111212011020112112
423312201201000
5401400424212
631421514452
74633063355
oct1366414100
9455136475
10198842432
11a2272298
1256712a28
1332270459
141c5a062c
15126cb422
hexbda1840

198842432 has 84 divisors (see below), whose sum is σ = 422219628. Its totient is φ = 92851200.

The previous prime is 198842431. The next prime is 198842443. The reversal of 198842432 is 234248891.

It can be written as a sum of positive squares in 2 ways, for example, as 62980096 + 135862336 = 7936^2 + 11656^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 198842432.

It is not an unprimeable number, because it can be changed into a prime (198842431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3259682 + ... + 3259742.

Almost surely, 2198842432 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 198842432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211109814).

198842432 is an abundant number, since it is smaller than the sum of its proper divisors (223377196).

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

198842432 is an equidigital number, since it uses as much as digits as its factorization.

198842432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 147 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The square root of 198842432 is about 14101.1500240229. The cubic root of 198842432 is about 583.6731141182.

The spelling of 198842432 in words is "one hundred ninety-eight million, eight hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 53 61 62 64 106 122 124 212 244 248 424 488 496 848 961 976 992 1643 1696 1891 1922 1952 1984 3233 3286 3392 3782 3844 3904 6466 6572 7564 7688 12932 13144 15128 15376 25864 26288 30256 30752 50933 51728 52576 58621 60512 61504 100223 101866 103456 105152 117242 121024 200446 203732 206912 234484 400892 407464 468968 801784 814928 937936 1603568 1629856 1875872 3106913 3207136 3259712 3751744 6213826 6414272 12427652 24855304 49710608 99421216 198842432