Search a number
-
+
198936792 = 23322763011
BaseRepresentation
bin10111101101110…
…00100011011000
3111212100000222100
423312320203120
5401411434132
631423523400
74633635435
oct1366704330
9455300870
10198936792
11a232717a
1256759560
13322a43a2
141c5c6b8c
15126e937c
hexbdb88d8

198936792 has 24 divisors (see below), whose sum is σ = 538787340. Its totient is φ = 66312240.

The previous prime is 198936769. The next prime is 198936809. The reversal of 198936792 is 297639891.

198936792 is a `hidden beast` number, since 198 + 9 + 367 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1989367922 = 79151694422502528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1381434 + ... + 1381577.

Almost surely, 2198936792 is an apocalyptic number.

198936792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198936792 is an abundant number, since it is smaller than the sum of its proper divisors (339850548).

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

198936792 is a wasteful number, since it uses less digits than its factorization.

198936792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763023 (or 2763016 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 198936792 is about 14104.4954535779. The cubic root of 198936792 is about 583.7654262148.

It can be divided in two parts, 1989 and 36792, that added together give a triangular number (38781 = T278).

The spelling of 198936792 in words is "one hundred ninety-eight million, nine hundred thirty-six thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2763011 5526022 8289033 11052044 16578066 22104088 24867099 33156132 49734198 66312264 99468396 198936792