Search a number
-
+
4490652816 = 24321317731933
BaseRepresentation
bin1000010111010100…
…11110110010010000
3102120221221210120200
410023222132302100
533144101342231
62021334135200
7216165630156
oct41352366220
912527853520
104490652816
1119a4946a21
12a53ab1500
13567483120
143085953d6
151b4393be6
hex10ba9ec90

4490652816 has 240 divisors, whose sum is σ = 14534288496. Its totient is φ = 1281982464.

The previous prime is 4490652763. The next prime is 4490652827. The reversal of 4490652816 is 6182560944.

It can be written as a sum of positive squares in 8 ways, for example, as 27878400 + 4462774416 = 5280^2 + 66804^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2322186 + ... + 2324118.

Almost surely, 24490652816 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 4490652816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267144248).

4490652816 is an abundant number, since it is smaller than the sum of its proper divisors (10043635680).

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

4490652816 is a wasteful number, since it uses less digits than its factorization.

4490652816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4490652816 is about 67012.3333126075. Note that the first 4 decimals coincide. The cubic root of 4490652816 is about 1649.8197312699.

The spelling of 4490652816 in words is "four billion, four hundred ninety million, six hundred fifty-two thousand, eight hundred sixteen".