Search a number
-
+
482564376 = 233274092341
BaseRepresentation
bin11100110000110…
…101100100011000
31020122000210212200
4130300311210120
51442014030001
6115515010200
714646505140
oct3460654430
91218023780
10482564376
11228438838
12115739960
1378c8bc68
1448137920
152c572086
hex1cc35918

482564376 has 96 divisors (see below), whose sum is σ = 1497943200. Its totient is φ = 137479680.

The previous prime is 482564359. The next prime is 482564377. The reversal of 482564376 is 673465284.

482564376 is a `hidden beast` number, since 4 + 82 + 564 + 3 + 7 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482564377) 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, 204966 + ... + 207306.

It is an arithmetic number, because the mean of its divisors is an integer number (15603575).

Almost surely, 2482564376 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 482564376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748971600).

482564376 is an abundant number, since it is smaller than the sum of its proper divisors (1015378824).

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

482564376 is a wasteful number, since it uses less digits than its factorization.

482564376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2762 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 482564376 is about 21967.3479509931. The cubic root of 482564376 is about 784.3653848358.

The spelling of 482564376 in words is "four hundred eighty-two million, five hundred sixty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 409 504 818 1227 1636 2341 2454 2863 3272 3681 4682 4908 5726 7023 7362 8589 9364 9816 11452 14046 14724 16387 17178 18728 21069 22904 25767 28092 29448 32774 34356 42138 49161 51534 56184 65548 68712 84276 98322 103068 131096 147483 168552 196644 206136 294966 393288 589932 957469 1179864 1914938 2872407 3829876 5744814 6702283 7659752 8617221 11489628 13404566 17234442 20106849 22979256 26809132 34468884 40213698 53618264 60320547 68937768 80427396 120641094 160854792 241282188 482564376