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198848768 = 28776753
BaseRepresentation
bin10111101101000…
…11000100000000
3111212011120020012
423312203010000
5401401130033
631422004052
74633121006
oct1366430400
9455146205
10198848768
11a2277028
1256716628
13322732c1
141c5a2a76
15126cd248
hexbda3100

198848768 has 18 divisors (see below), whose sum is σ = 396921294. Its totient is φ = 99424256.

The previous prime is 198848761. The next prime is 198848843. The reversal of 198848768 is 867848891.

It can be written as a sum of positive squares in only one way, i.e., 108826624 + 90022144 = 10432^2 + 9488^2 .

It is not an unprimeable number, because it can be changed into a prime (198848761) 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 as a sum of consecutive naturals, namely, 388121 + ... + 388632.

It is an arithmetic number, because the mean of its divisors is an integer number (22051183).

Almost surely, 2198848768 is an apocalyptic number.

It is an amenable number.

198848768 is a deficient number, since it is larger than the sum of its proper divisors (198072526).

198848768 is an frugal number, since it uses more digits than its factorization.

198848768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776769 (or 776755 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 59.

The square root of 198848768 is about 14101.3746847603. The cubic root of 198848768 is about 583.6793135219.

The spelling of 198848768 in words is "one hundred ninety-eight million, eight hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 776753 1553506 3107012 6214024 12428048 24856096 49712192 99424384 198848768