Search a number
-
+
1478248704 = 2836892
BaseRepresentation
bin101100000011100…
…0100100100000000
310211000120211000000
41120013010210000
511011412424304
6402404000000
751426622662
oct13007044400
93730524000
101478248704
11699484149
12353090000
131a734799a
14100480532
1589b9e939
hex581c4900

1478248704 has 189 divisors, whose sum is σ = 4474327753. Its totient is φ = 487213056.

The previous prime is 1478248691. The next prime is 1478248741. The reversal of 1478248704 is 4078428741.

The square root of 1478248704 is 38448.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 283855104 + 1194393600 = 16848^2 + 34560^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1478248704.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 16609492 + ... + 16609580.

Almost surely, 21478248704 is an apocalyptic number.

1478248704 is the 38448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1478248704

1478248704 is an abundant number, since it is smaller than the sum of its proper divisors (2996079049).

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

1478248704 is an frugal number, since it uses more digits than its factorization.

1478248704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The cubic root of 1478248704 is about 1139.1541648225.

The spelling of 1478248704 in words is "one billion, four hundred seventy-eight million, two hundred forty-eight thousand, seven hundred four".