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198319728 = 2434131661
BaseRepresentation
bin10111101001000…
…01111001110000
3111211011200112010
423310201321300
5401232212403
631402402520
74625455425
oct1364417160
9454150463
10198319728
11a1a45602
1256500440
1332119569
141c4a5d4c
1512626603
hexbd21e70

198319728 has 20 divisors (see below), whose sum is σ = 512326088. Its totient is φ = 66106560.

The previous prime is 198319727. The next prime is 198319729. The reversal of 198319728 is 827913891.

198319728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (198319727) and next prime (198319729).

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 4131661 = 198319728 / (1 + 9 + 8 + 3 + 1 + 9 + 7 + 2 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198319727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2065783 + ... + 2065878.

Almost surely, 2198319728 is an apocalyptic number.

It is an amenable number.

198319728 is an abundant number, since it is smaller than the sum of its proper divisors (314006360).

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

198319728 is a wasteful number, since it uses less digits than its factorization.

198319728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4131672 (or 4131666 counting only the distinct ones).

The product of its digits is 217728, while the sum is 48.

The square root of 198319728 is about 14082.6037365254. The cubic root of 198319728 is about 583.1612247266.

The spelling of 198319728 in words is "one hundred ninety-eight million, three hundred nineteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 4131661 8263322 12394983 16526644 24789966 33053288 49579932 66106576 99159864 198319728