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198616896 = 2632344821
BaseRepresentation
bin10111101011010…
…10011101000000
3111211201210011100
423311222131000
5401321220041
631413014400
74631134002
oct1365523500
9454653140
10198616896
11a21288a5
1256624400
13321c18ba
141c542372
15126846b6
hexbd6a740

198616896 has 42 divisors (see below), whose sum is σ = 569301122. Its totient is φ = 66205440.

The previous prime is 198616843. The next prime is 198616927. The reversal of 198616896 is 698616891.

198616896 is a `hidden beast` number, since 19 + 8 + 616 + 8 + 9 + 6 = 666.

198616896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 111007296 + 87609600 = 10536^2 + 9360^2 .

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

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, 171835 + ... + 172986.

Almost surely, 2198616896 is an apocalyptic number.

198616896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

198616896 is an abundant number, since it is smaller than the sum of its proper divisors (370684226).

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

198616896 is a wasteful number, since it uses less digits than its factorization.

198616896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344839 (or 344826 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 198616896 is about 14093.1506768359. The cubic root of 198616896 is about 583.4523545618.

The spelling of 198616896 in words is "one hundred ninety-eight million, six hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 344821 689642 1034463 1379284 2068926 2758568 3103389 4137852 5517136 6206778 8275704 11034272 12413556 16551408 22068544 24827112 33102816 49654224 66205632 99308448 198616896