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198084852 = 2235724159
BaseRepresentation
bin10111100111010…
…00100011110100
3111210201202100000
423303220203310
5401202203402
631353351300
74623456600
oct1363504364
9453652300
10198084852
11a18a5099
1256408530
1332066694
141c444500
15125cbc1c
hexbce88f4

198084852 has 108 divisors (see below), whose sum is σ = 604181760. Its totient is φ = 56582064.

The previous prime is 198084851. The next prime is 198084853. The reversal of 198084852 is 258480891.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (198084851) and next prime (198084853).

It is a tau number, because it is divible by the number of its divisors (108).

It is a junction number, because it is equal to n+sod(n) for n = 198084798 and 198084807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198084851) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45549 + ... + 49707.

Almost surely, 2198084852 is an apocalyptic number.

198084852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198084852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302090880).

198084852 is an abundant number, since it is smaller than the sum of its proper divisors (406096908).

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

198084852 is a wasteful number, since it uses less digits than its factorization.

198084852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 198084852 is about 14074.2620410450. The cubic root of 198084852 is about 582.9309153409.

The spelling of 198084852 in words is "one hundred ninety-eight million, eighty-four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 756 882 972 1134 1323 1701 1764 2268 2646 3402 3969 4159 5292 6804 7938 8318 11907 12477 15876 16636 23814 24954 29113 37431 47628 49908 58226 74862 87339 112293 116452 149724 174678 203791 224586 262017 336879 349356 407582 449172 524034 611373 673758 786051 815164 1010637 1048068 1222746 1347516 1572102 1834119 2021274 2358153 2445492 3144204 3668238 4042548 4716306 5502357 7074459 7336476 9432612 11004714 14148918 16507071 22009428 28297836 33014142 49521213 66028284 99042426 198084852