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382231638 = 232171996277
BaseRepresentation
bin10110110010000…
…110010001010110
3222122020101020100
4112302012101112
51240322403023
6101532314530
712320625645
oct2662062126
9878211210
10382231638
1118683a318
12a8012a46
136125cb89
1438a9b35c
1523853c43
hex16c86456

382231638 has 48 divisors (see below), whose sum is σ = 881431200. Its totient is φ = 119294208.

The previous prime is 382231627. The next prime is 382231639. The reversal of 382231638 is 836132283.

It is a super-3 number, since 3×3822316383 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382231639) 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 23 ways as a sum of consecutive naturals, for example, 57756 + ... + 64032.

It is an arithmetic number, because the mean of its divisors is an integer number (18363150).

Almost surely, 2382231638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382231638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440715600).

382231638 is an abundant number, since it is smaller than the sum of its proper divisors (499199562).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

382231638 is a wasteful number, since it uses less digits than its factorization.

382231638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6501 (or 6498 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 382231638 is about 19550.7452031885. The cubic root of 382231638 is about 725.7307814946.

The spelling of 382231638 in words is "three hundred eighty-two million, two hundred thirty-one thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 199 306 398 597 1194 1791 3383 3582 6277 6766 10149 12554 18831 20298 30447 37662 56493 60894 106709 112986 213418 320127 640254 960381 1249123 1920762 2498246 3747369 7494738 11242107 21235091 22484214 42470182 63705273 127410546 191115819 382231638