Search a number
-
+
4870344024 = 233772131923
BaseRepresentation
bin1001000100100101…
…11000110101011000
3110120102102010000000
410202102320311120
534433302002044
62123140213000
7231456145500
oct44222706530
913512363000
104870344024
11207a200607
12b3b09a160
135c8033890
14342b90a00
151d7894d69
hex1224b8d58

4870344024 has 768 divisors, whose sum is σ = 18845568000. Its totient is φ = 1163973888.

The previous prime is 4870344007. The next prime is 4870344029. The reversal of 4870344024 is 4204430784.

It is a happy number.

It is a super-2 number, since 2×48703440242 = 47440501824225025152, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4870344024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4870344029) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 211754077 + ... + 211754099.

It is an arithmetic number, because the mean of its divisors is an integer number (24538500).

Almost surely, 24870344024 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 4870344024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9422784000).

4870344024 is an abundant number, since it is smaller than the sum of its proper divisors (13975223976).

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

4870344024 is a wasteful number, since it uses less digits than its factorization.

4870344024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 4870344024 is about 69787.8501173378. The cubic root of 4870344024 is about 1695.0657410480.

The spelling of 4870344024 in words is "four billion, eight hundred seventy million, three hundred forty-four thousand, twenty-four".