Search a number
-
+
483273280 = 265741737
BaseRepresentation
bin11100110011100…
…010101001000000
31020200100211022101
4130303202221000
51442204221110
6115542120144
714655520000
oct3463425100
91220324271
10483273280
11228882406
12115a20054
1379179829
1448280000
152c66213a
hex1cce2a40

483273280 has 280 divisors, whose sum is σ = 1459903608. Its totient is φ = 151732224.

The previous prime is 483273269. The next prime is 483273281. The reversal of 483273280 is 82372384.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 199148544 + 284124736 = 14112^2 + 16856^2 .

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483273281) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13061422 + ... + 13061458.

Almost surely, 2483273280 is an apocalyptic number.

483273280 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 483273280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729951804).

483273280 is an abundant number, since it is smaller than the sum of its proper divisors (976630328).

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

483273280 is an equidigital number, since it uses as much as digits as its factorization.

483273280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 483273280 is about 21983.4774319260. The cubic root of 483273280 is about 784.7492836673.

The spelling of 483273280 in words is "four hundred eighty-three million, two hundred seventy-three thousand, two hundred eighty".