Search a number
-
+
483822720 = 273651761
BaseRepresentation
bin11100110101101…
…000110010000000
31020201101202000000
4130311220302000
51442324311340
6120002000000
714663265603
oct3465506200
91221352000
10483822720
11229118197
12116046000
137930c944
144838433a
152c71ed30
hex1cd68c80

483822720 has 448 divisors, whose sum is σ = 1866275640. Its totient is φ = 119439360.

The previous prime is 483822697. The next prime is 483822739. The reversal of 483822720 is 27228384.

483822720 is a `hidden beast` number, since 4 + 8 + 382 + 272 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 321413184 + 162409536 = 17928^2 + 12744^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7931490 + ... + 7931550.

Almost surely, 2483822720 is an apocalyptic number.

483822720 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 483822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933137820).

483822720 is an abundant number, since it is smaller than the sum of its proper divisors (1382452920).

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

483822720 is an equidigital number, since it uses as much as digits as its factorization.

483822720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 483822720 is about 21995.9705400785. The cubic root of 483822720 is about 785.0465684303.

483822720 divided by its sum of digits (36) gives a triangular number (13439520 = T5184).

The spelling of 483822720 in words is "four hundred eighty-three million, eight hundred twenty-two thousand, seven hundred twenty".