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382192101 = 36524269
BaseRepresentation
bin10110110001111…
…100100111100101
3222122011101000000
4112301330213211
51240320121401
6101531411513
712320402454
oct2661744745
9878141000
10382192101
11186812645
12a7bb3b99
1361247b95
1438a8ab9b
1523847186
hex16c7c9e5

382192101 has 14 divisors (see below), whose sum is σ = 573027110. Its totient is φ = 254794248.

The previous prime is 382192091. The next prime is 382192117. The reversal of 382192101 is 101291283.

It can be written as a sum of positive squares in only one way, i.e., 332150625 + 50041476 = 18225^2 + 7074^2 .

It is not a de Polignac number, because 382192101 - 210 = 382191077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382192141) 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 13 ways as a sum of consecutive naturals, for example, 261406 + ... + 262863.

Almost surely, 2382192101 is an apocalyptic number.

It is an amenable number.

382192101 is a deficient number, since it is larger than the sum of its proper divisors (190835009).

382192101 is an frugal number, since it uses more digits than its factorization.

382192101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524287 (or 524272 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 382192101 is about 19549.7340391116. The cubic root of 382192101 is about 725.7057580930.

Adding to 382192101 its sum of digits (27), we get a triangular number (382192128 = T27647).

The spelling of 382192101 in words is "three hundred eighty-two million, one hundred ninety-two thousand, one hundred one".

Divisors: 1 3 9 27 81 243 729 524269 1572807 4718421 14155263 42465789 127397367 382192101