Search a number
-
+
1484021448 = 23327213219131
BaseRepresentation
bin101100001110100…
…0101111011001000
310211102110002201100
41120131011323020
511014402141243
6403131421400
751526655100
oct13035057310
93742402640
101484021448
116a1767308
12354bb4860
131a85b9400
14101144200
158a4400d3
hex58745ec8

1484021448 has 432 divisors, whose sum is σ = 5369878800. Its totient is φ = 367960320.

The previous prime is 1484021417. The next prime is 1484021471. The reversal of 1484021448 is 8441204841.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11328343 + ... + 11328473.

It is an arithmetic number, because the mean of its divisors is an integer number (12430275).

Almost surely, 21484021448 is an apocalyptic number.

1484021448 is a gapful number since it is divisible by the number (18) 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 1484021448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684939400).

1484021448 is an abundant number, since it is smaller than the sum of its proper divisors (3885857352).

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

1484021448 is a wasteful number, since it uses less digits than its factorization.

1484021448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 1484021448 is about 38522.9989486800. The cubic root of 1484021448 is about 1140.6350847303.

The spelling of 1484021448 in words is "one billion, four hundred eighty-four million, twenty-one thousand, four hundred forty-eight".