Search a number
-
+
482893824 = 213372401
BaseRepresentation
bin11100110010000…
…110000000000000
31020122122112210110
4130302012000000
51442110100244
6115530031320
714652346500
oct3462060000
91218575713
10482893824
11228643306
12115878540
1379075bba
14481c1a00
152c5d99b9
hex1cc86000

482893824 has 168 divisors, whose sum is σ = 1501600248. Its totient is φ = 137625600.

The previous prime is 482893813. The next prime is 482893837. The reversal of 482893824 is 428398284.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (48) 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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1204024 + ... + 1204424.

Almost surely, 2482893824 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 482893824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750800124).

482893824 is an abundant number, since it is smaller than the sum of its proper divisors (1018706424).

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

482893824 is an equidigital number, since it uses as much as digits as its factorization.

482893824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 413 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 482893824 is about 21974.8452554279. The cubic root of 482893824 is about 784.5438403520.

The spelling of 482893824 in words is "four hundred eighty-two million, eight hundred ninety-three thousand, eight hundred twenty-four".