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382021812 = 2233231131361
BaseRepresentation
bin10110110001010…
…011000010110100
3222121211201102000
4112301103002310
51240244144222
6101524015300
712316063134
oct2661230264
9877751360
10382021812
11186706707
12a7b31530
13611b8513
1438a44ac4
15238119ac
hex16c530b4

382021812 has 96 divisors (see below), whose sum is σ = 1043400960. Its totient is φ = 120637440.

The previous prime is 382021811. The next prime is 382021813. The reversal of 382021812 is 218120283.

It is an interprime number because it is at equal distance from previous prime (382021811) and next prime (382021813).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382021811) 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 31 ways as a sum of consecutive naturals, for example, 280012 + ... + 281372.

It is an arithmetic number, because the mean of its divisors is an integer number (10868760).

Almost surely, 2382021812 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382021812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521700480).

382021812 is an abundant number, since it is smaller than the sum of its proper divisors (661379148).

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

382021812 is a wasteful number, since it uses less digits than its factorization.

382021812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 382021812 is about 19545.3782772296. The cubic root of 382021812 is about 725.5979605866.

The spelling of 382021812 in words is "three hundred eighty-two million, twenty-one thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 113 138 207 226 276 339 414 452 621 678 828 1017 1242 1356 1361 2034 2484 2599 2722 3051 4068 4083 5198 5444 6102 7797 8166 10396 12204 12249 15594 16332 23391 24498 31188 31303 36747 46782 48996 62606 70173 73494 93564 93909 125212 140346 146988 153793 187818 280692 281727 307586 375636 461379 563454 615172 845181 922758 1126908 1384137 1690362 1845516 2768274 3380724 3537239 4152411 5536548 7074478 8304822 10611717 14148956 16609644 21223434 31835151 42446868 63670302 95505453 127340604 191010906 382021812