Search a number
-
+
482240640 = 2735753677
BaseRepresentation
bin11100101111100…
…110100010000000
31020121102100210110
4130233212202000
51441423200030
6115504031320
714643656250
oct3457464200
91217370713
10482240640
11228237592
12115602540
1378ba77bb
1448091960
152c50b1b0
hex1cbe6880

482240640 has 256 divisors, whose sum is σ = 1792523520. Its totient is φ = 107986944.

The previous prime is 482240621. The next prime is 482240651. The reversal of 482240640 is 46042284.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 482240598 and 482240607.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 711982 + ... + 712658.

It is an arithmetic number, because the mean of its divisors is an integer number (7002045).

Almost surely, 2482240640 is an apocalyptic number.

482240640 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 482240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896261760).

482240640 is an abundant number, since it is smaller than the sum of its proper divisors (1310282880).

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

482240640 is a wasteful number, since it uses less digits than its factorization.

482240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 482240640 is about 21959.9781420656. The cubic root of 482240640 is about 784.1899442592.

The spelling of 482240640 in words is "four hundred eighty-two million, two hundred forty thousand, six hundred forty".