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382192129 = 11373312837
BaseRepresentation
bin10110110001111…
…100101000000001
3222122011101001001
4112301330220001
51240320122004
6101531412001
712320402524
oct2661745001
9878141031
10382192129
11186812670
12a7bb4001
1361247bb7
1438a8abbb
15238471a4
hex16c7ca01

382192129 has 16 divisors (see below), whose sum is σ = 429650496. Its totient is φ = 336916800.

The previous prime is 382192117. The next prime is 382192133. The reversal of 382192129 is 921291283.

It is not a de Polignac number, because 382192129 - 29 = 382191617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a pancake number, because a pancake can be divided into 382192129 parts by 27647 straight cuts.

It is not an unprimeable number, because it can be changed into a prime (382192159) 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 15 ways as a sum of consecutive naturals, for example, 133299 + ... + 136135.

It is an arithmetic number, because the mean of its divisors is an integer number (26853156).

Almost surely, 2382192129 is an apocalyptic number.

It is an amenable number.

382192129 is a deficient number, since it is larger than the sum of its proper divisors (47458367).

382192129 is a wasteful number, since it uses less digits than its factorization.

382192129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216.

The product of its digits is 15552, while the sum is 37.

The square root of 382192129 is about 19549.7347552339. The cubic root of 382192129 is about 725.7057758152.

The spelling of 382192129 in words is "three hundred eighty-two million, one hundred ninety-two thousand, one hundred twenty-nine".

Divisors: 1 11 37 331 407 2837 3641 12247 31207 104969 134717 939047 1154659 10329517 34744739 382192129