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199449648 = 2433461689
BaseRepresentation
bin10111110001101…
…01110000110000
3111220022002111000
423320311300300
5402024342043
631442522000
74641202566
oct1370656060
9456262430
10199449648
11a2647522
1256966300
1332423958
141c6bba36
151279b2d3
hexbe35c30

199449648 has 40 divisors (see below), whose sum is σ = 572495600. Its totient is φ = 66483072.

The previous prime is 199449643. The next prime is 199449659. The reversal of 199449648 is 846944991.

It is a happy number.

199449648 is a `hidden beast` number, since 199 + 449 + 6 + 4 + 8 = 666.

199449648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 199449594 and 199449603.

It is not an unprimeable number, because it can be changed into a prime (199449643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230413 + ... + 231276.

It is an arithmetic number, because the mean of its divisors is an integer number (14312390).

Almost surely, 2199449648 is an apocalyptic number.

199449648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

199449648 is an abundant number, since it is smaller than the sum of its proper divisors (373045952).

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

199449648 is a wasteful number, since it uses less digits than its factorization.

199449648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461706 (or 461694 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 199449648 is about 14122.6643378649. The cubic root of 199449648 is about 584.2666418590.

It can be divided in two parts, 19944 and 9648, that added together give a palindrome (29592).

The spelling of 199449648 in words is "one hundred ninety-nine million, four hundred forty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 461689 923378 1385067 1846756 2770134 3693512 4155201 5540268 7387024 8310402 11080536 12465603 16620804 22161072 24931206 33241608 49862412 66483216 99724824 199449648