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198589056 = 2732771867
BaseRepresentation
bin10111101011000…
…11101010000000
3111211200100222020
423311203222000
5401314322211
631412241440
74630656561
oct1365435200
9454610866
10198589056
11a2109996
1256610280
13321b2023
141c536168
151267b306
hexbd63a80

198589056 has 64 divisors (see below), whose sum is σ = 529690080. Its totient is φ = 65922048.

The previous prime is 198589033. The next prime is 198589067. The reversal of 198589056 is 650985891.

198589056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1985890562 = 78875226325942272, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105435 + ... + 107301.

Almost surely, 2198589056 is an apocalyptic number.

198589056 is a gapful number since it is divisible by the number (16) 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 198589056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264845040).

198589056 is an abundant number, since it is smaller than the sum of its proper divisors (331101024).

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

198589056 is a wasteful number, since it uses less digits than its factorization.

198589056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 51.

The square root of 198589056 is about 14092.1629283797. The cubic root of 198589056 is about 583.4250925767.

The spelling of 198589056 in words is "one hundred ninety-eight million, five hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 277 384 554 831 1108 1662 1867 2216 3324 3734 4432 5601 6648 7468 8864 11202 13296 14936 17728 22404 26592 29872 35456 44808 53184 59744 89616 106368 119488 179232 238976 358464 517159 716928 1034318 1551477 2068636 3102954 4137272 6205908 8274544 12411816 16549088 24823632 33098176 49647264 66196352 99294528 198589056