Search a number
-
+
198544544 = 25112471091
BaseRepresentation
bin10111101010110…
…00110010100000
3111211121002220122
423311120302200
5401311411134
631411255412
74630413032
oct1365306240
9454532818
10198544544
11a2089500
12565aa568
13321979a3
141c523c52
151266d02e
hexbd58ca0

198544544 has 72 divisors (see below), whose sum is σ = 439193664. Its totient is φ = 88246400.

The previous prime is 198544529. The next prime is 198544559. The reversal of 198544544 is 445445891.

It is an interprime number because it is at equal distance from previous prime (198544529) and next prime (198544559).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 198544495 and 198544504.

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 11 ways as a sum of consecutive naturals, for example, 181439 + ... + 182529.

It is an arithmetic number, because the mean of its divisors is an integer number (6099912).

Almost surely, 2198544544 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 198544544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219596832).

198544544 is an abundant number, since it is smaller than the sum of its proper divisors (240649120).

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

198544544 is a wasteful number, since it uses less digits than its factorization.

198544544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1151 counting only the distinct ones).

The product of its digits is 460800, while the sum is 44.

The square root of 198544544 is about 14090.5835223386. The cubic root of 198544544 is about 583.3814994423.

The spelling of 198544544 in words is "one hundred ninety-eight million, five hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 47 88 94 121 176 188 242 352 376 484 517 752 968 1034 1091 1504 1936 2068 2182 3872 4136 4364 5687 8272 8728 11374 12001 16544 17456 22748 24002 34912 45496 48004 51277 90992 96008 102554 132011 181984 192016 205108 264022 384032 410216 528044 564047 820432 1056088 1128094 1640864 2112176 2256188 4224352 4512376 6204517 9024752 12409034 18049504 24818068 49636136 99272272 198544544