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198105648 = 24313734349
BaseRepresentation
bin10111100111011…
…01101000110000
3111210202210212020
423303231220300
5401203340043
631354031440
74623604326
oct1363555060
9453683766
10198105648
11a1909784
1256418580
1332072ca0
141c44bd16
15125d2e83
hexbceda30

198105648 has 80 divisors (see below), whose sum is σ = 558818400. Its totient is φ = 60106752.

The previous prime is 198105617. The next prime is 198105653. The reversal of 198105648 is 846501891.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43378 + ... + 47726.

It is an arithmetic number, because the mean of its divisors is an integer number (6985230).

Almost surely, 2198105648 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 198105648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279409200).

198105648 is an abundant number, since it is smaller than the sum of its proper divisors (360712752).

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

198105648 is a wasteful number, since it uses less digits than its factorization.

198105648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4446 (or 4440 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 198105648 is about 14075.0008170515. Note that the first 3 decimals coincide. The cubic root of 198105648 is about 582.9513143551.

The spelling of 198105648 in words is "one hundred ninety-eight million, one hundred five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 73 78 104 146 156 208 219 292 312 438 584 624 876 949 1168 1752 1898 2847 3504 3796 4349 5694 7592 8698 11388 13047 15184 17396 22776 26094 34792 45552 52188 56537 69584 104376 113074 169611 208752 226148 317477 339222 452296 634954 678444 904592 952431 1269908 1356888 1904862 2539816 2713776 3809724 4127201 5079632 7619448 8254402 12381603 15238896 16508804 24763206 33017608 49526412 66035216 99052824 198105648