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482386632 = 233713220873
BaseRepresentation
bin11100110000001…
…010001011001000
31020121200210001120
4130300022023020
51441442333012
6115511115240
714645135010
oct3460121310
91217623046
10482386632
11228327242
12115672b20
1378c290a0
14480ccc40
152c53958c
hex1cc0a2c8

482386632 has 64 divisors (see below), whose sum is σ = 1484273280. Its totient is φ = 127222272.

The previous prime is 482386603. The next prime is 482386637. The reversal of 482386632 is 236683284.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (482386637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108253 + ... + 112620.

It is an arithmetic number, because the mean of its divisors is an integer number (23191770).

Almost surely, 2482386632 is an apocalyptic number.

482386632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

482386632 is an abundant number, since it is smaller than the sum of its proper divisors (1001886648).

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

482386632 is a wasteful number, since it uses less digits than its factorization.

482386632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220902 (or 220898 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 482386632 is about 21963.3019375503. The cubic root of 482386632 is about 784.2690706661.

The spelling of 482386632 in words is "four hundred eighty-two million, three hundred eighty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 220873 441746 662619 883492 1325238 1546111 1766984 2650476 2871349 3092222 4638333 5300952 5742698 6184444 8614047 9276666 11485396 12368888 17228094 18553332 20099443 22970792 34456188 37106664 40198886 60298329 68912376 80397772 120596658 160795544 241193316 482386632