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482146632 = 233211691881
BaseRepresentation
bin11100101111001…
…111100101001000
31020121020120211200
4130233033211020
51441412143012
6115502024200
714643115212
oct3457174510
91217216750
10482146632
112281829a0
12115578060
1378b73a86
14480695b2
152c4dd3dc
hex1cbcf948

482146632 has 96 divisors (see below), whose sum is σ = 1428204960. Its totient is φ = 145728000.

The previous prime is 482146619. The next prime is 482146681. The reversal of 482146632 is 236641284.

482146632 is a `hidden beast` number, since 4 + 8 + 2 + 14 + 6 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 546832 + ... + 547712.

It is an arithmetic number, because the mean of its divisors is an integer number (14877135).

Almost surely, 2482146632 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 482146632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714102480).

482146632 is an abundant number, since it is smaller than the sum of its proper divisors (946058328).

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

482146632 is a wasteful number, since it uses less digits than its factorization.

482146632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1588 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 482146632 is about 21957.8375984522. The cubic root of 482146632 is about 784.1389842799.

The spelling of 482146632 in words is "four hundred eighty-two million, one hundred forty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 691 792 881 1382 1762 2073 2643 2764 3524 4146 5286 5528 6219 7048 7601 7929 8292 9691 10572 12438 15202 15858 16584 19382 21144 22803 24876 29073 30404 31716 38764 45606 49752 58146 60808 63432 68409 77528 87219 91212 116292 136818 174438 182424 232584 273636 348876 547272 608771 697752 1217542 1826313 2435084 3652626 4870168 5478939 6696481 7305252 10957878 13392962 14610504 20089443 21915756 26785924 40178886 43831512 53571848 60268329 80357772 120536658 160715544 241073316 482146632