Search a number
-
+
2470120448 = 21023910093
BaseRepresentation
bin1001001100111011…
…0000110000000000
320101010222010020112
42103032300300000
520024322323243
61045035130452
7115132451225
oct22316606000
96333863215
102470120448
111058356064
1258b2a3a28
1330499a243
141960b394c
15e6cc7818
hex933b0c00

2470120448 has 44 divisors (see below), whose sum is σ = 4958980320. Its totient is φ = 1229770752.

The previous prime is 2470120447. The next prime is 2470120463. The reversal of 2470120448 is 8440210742.

It is a super-2 number, since 2×24701204482 = 12202990055255441408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2470120447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 239690 + ... + 249782.

Almost surely, 22470120448 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 2470120448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479490160).

2470120448 is an abundant number, since it is smaller than the sum of its proper divisors (2488859872).

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

2470120448 is a wasteful number, since it uses less digits than its factorization.

2470120448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10352 (or 10334 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The square root of 2470120448 is about 49700.3063169635. The cubic root of 2470120448 is about 1351.7800839742.

The spelling of 2470120448 in words is "two billion, four hundred seventy million, one hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 239 256 478 512 956 1024 1912 3824 7648 10093 15296 20186 30592 40372 61184 80744 122368 161488 244736 322976 645952 1291904 2412227 2583808 4824454 5167616 9648908 10335232 19297816 38595632 77191264 154382528 308765056 617530112 1235060224 2470120448