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198984064 = 278917467
BaseRepresentation
bin10111101110001…
…00000110000000
3111212102102211011
423313010012000
5401414442224
631424530304
74634223316
oct1367040600
9455372734
10198984064
11a2359744
1256780994
13322bca66
141c5da0b6
1512708394
hexbdc4180

198984064 has 32 divisors (see below), whose sum is σ = 400890600. Its totient is φ = 98368512.

The previous prime is 198984061. The next prime is 198984077. The reversal of 198984064 is 460489891.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 198983999 and 198984017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198984061) 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 3 ways as a sum of consecutive naturals, for example, 2659 + ... + 20125.

Almost surely, 2198984064 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 198984064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200445300).

198984064 is an abundant number, since it is smaller than the sum of its proper divisors (201906536).

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

198984064 is an equidigital number, since it uses as much as digits as its factorization.

198984064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17570 (or 17558 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The square root of 198984064 is about 14106.1711318132. The cubic root of 198984064 is about 583.8116612919.

The spelling of 198984064 in words is "one hundred ninety-eight million, nine hundred eighty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 89 128 178 356 712 1424 2848 5696 11392 17467 34934 69868 139736 279472 558944 1117888 1554563 2235776 3109126 6218252 12436504 24873008 49746016 99492032 198984064