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193828361 = 4144910529
BaseRepresentation
bin10111000110110…
…01011000001001
3111111201111112012
423203121120021
5344110001421
631122225305
74542341156
oct1343313011
9444644465
10193828361
119a458131
1254ab5235
133120614c
141ba5722d
151203a95b
hexb8d9609

193828361 has 8 divisors (see below), whose sum is σ = 199017000. Its totient is φ = 188661760.

The previous prime is 193828357. The next prime is 193828379. The reversal of 193828361 is 163828391.

193828361 = 98442 + 98452.

It can be written as a sum of positive squares in 4 ways, for example, as 20748025 + 173080336 = 4555^2 + 13156^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 193828361 - 22 = 193828357 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (193828321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13145 + ... + 23673.

It is an arithmetic number, because the mean of its divisors is an integer number (24877125).

Almost surely, 2193828361 is an apocalyptic number.

193828361 is the 9845-th centered square number.

It is an amenable number.

193828361 is a deficient number, since it is larger than the sum of its proper divisors (5188639).

193828361 is a wasteful number, since it uses less digits than its factorization.

193828361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11019.

The product of its digits is 62208, while the sum is 41.

The square root of 193828361 is about 13922.2254327388. The cubic root of 193828361 is about 578.7252632300.

The spelling of 193828361 in words is "one hundred ninety-three million, eight hundred twenty-eight thousand, three hundred sixty-one".

Divisors: 1 41 449 10529 18409 431689 4727521 193828361