Search a number
-
+
482685840 = 2432571353139
BaseRepresentation
bin11100110001010…
…011001110010000
31020122020222111100
4130301103032100
51442031421330
6115521344400
714650522230
oct3461231620
91218228440
10482685840
1122851101a
12115798100
1379002330
1448169cc0
152c598060
hex1cc53390

482685840 has 480 divisors, whose sum is σ = 2047368960. Its totient is φ = 99201024.

The previous prime is 482685821. The next prime is 482685949. The reversal of 482685840 is 48586284.

482685840 is a `hidden beast` number, since 4 + 8 + 2 + 68 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3472491 + ... + 3472629.

It is an arithmetic number, because the mean of its divisors is an integer number (4265352).

Almost surely, 2482685840 is an apocalyptic number.

482685840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482685840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023684480).

482685840 is an abundant number, since it is smaller than the sum of its proper divisors (1564683120).

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

482685840 is a wasteful number, since it uses less digits than its factorization.

482685840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 482685840 is about 21970.1124257478. The cubic root of 482685840 is about 784.4311889506.

The spelling of 482685840 in words is "four hundred eighty-two million, six hundred eighty-five thousand, eight hundred forty".