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198590041 = 1324612549
BaseRepresentation
bin10111101011000…
…11111001011001
3111211200102022201
423311203321121
5401314340131
631412250201
74630662466
oct1365437131
9454612281
10198590041
11a210a701
1256610961
13321b2600
141c53666d
151267b761
hexbd63e59

198590041 has 12 divisors (see below), whose sum is σ = 215592300. Its totient is φ = 182844480.

The previous prime is 198590023. The next prime is 198590059. The reversal of 198590041 is 140095891.

It is an interprime number because it is at equal distance from previous prime (198590023) and next prime (198590059).

It can be written as a sum of positive squares in 6 ways, for example, as 10214416 + 188375625 = 3196^2 + 13725^2 .

It is not a de Polignac number, because 198590041 - 25 = 198590009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (198590081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76635 + ... + 79183.

It is an arithmetic number, because the mean of its divisors is an integer number (17966025).

Almost surely, 2198590041 is an apocalyptic number.

It is an amenable number.

198590041 is a deficient number, since it is larger than the sum of its proper divisors (17002259).

198590041 is a wasteful number, since it uses less digits than its factorization.

198590041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 198590041 is about 14092.1978768395. The cubic root of 198590041 is about 583.4260571696.

The spelling of 198590041 in words is "one hundred ninety-eight million, five hundred ninety thousand, forty-one".

Divisors: 1 13 169 461 2549 5993 33137 77909 430781 1175089 15276157 198590041