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382129143 = 31129419739
BaseRepresentation
bin10110110001101…
…101001111110111
3222122001011122020
4112301231033313
51240311113033
6101530204223
712320021064
oct2661551767
9878034566
10382129143
1118677a310
12a7b83673
1361225326
1438a71c6b
15238336b3
hex16c6d3f7

382129143 has 32 divisors (see below), whose sum is σ = 589075200. Its totient is φ = 218131200.

The previous prime is 382129141. The next prime is 382129151. The reversal of 382129143 is 341921283.

It is not a de Polignac number, because 382129143 - 21 = 382129141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382129141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34368 + ... + 44106.

It is an arithmetic number, because the mean of its divisors is an integer number (18408600).

Almost surely, 2382129143 is an apocalyptic number.

382129143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

382129143 is a deficient number, since it is larger than the sum of its proper divisors (206946057).

382129143 is a wasteful number, since it uses less digits than its factorization.

382129143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9823.

The product of its digits is 10368, while the sum is 33.

The square root of 382129143 is about 19548.1237718611. The cubic root of 382129143 is about 725.6659077211.

The spelling of 382129143 in words is "three hundred eighty-two million, one hundred twenty-nine thousand, one hundred forty-three".

Divisors: 1 3 11 29 33 41 87 123 319 451 957 1189 1353 3567 9739 13079 29217 39237 107129 282431 321387 399299 847293 1197897 3106741 4392289 9320223 11579671 13176867 34739013 127376381 382129143