Search a number
-
+
2464420024 = 2311971032803
BaseRepresentation
bin1001001011100100…
…0001000010111000
320100202020111201201
42102321001002320
520021342420044
61044313023544
7115033140013
oct22271010270
96322214651
102464420024
111055112270
125893b4bb4
13303752701
1419542c37a
15e654d7d4
hex92e410b8

2464420024 has 64 divisors (see below), whose sum is σ = 5144106240. Its totient is φ = 1097487360.

The previous prime is 2464420001. The next prime is 2464420037. The reversal of 2464420024 is 4200244642.

It is a junction number, because it is equal to n+sod(n) for n = 2464419974 and 2464420001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 877807 + ... + 880609.

It is an arithmetic number, because the mean of its divisors is an integer number (80376660).

Almost surely, 22464420024 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 2464420024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572053120).

2464420024 is an abundant number, since it is smaller than the sum of its proper divisors (2679686216).

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

2464420024 is a wasteful number, since it uses less digits than its factorization.

2464420024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 2464420024 is about 49642.9252159862. The cubic root of 2464420024 is about 1350.7394255615.

Adding to 2464420024 its reverse (4200244642), we get a palindrome (6664664666).

The spelling of 2464420024 in words is "two billion, four hundred sixty-four million, four hundred twenty thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 97 103 194 206 388 412 776 824 1067 1133 2134 2266 2803 4268 4532 5606 8536 9064 9991 11212 19982 22424 30833 39964 61666 79928 109901 123332 219802 246664 271891 288709 439604 543782 577418 879208 1087564 1154836 2175128 2309672 2990801 3175799 5981602 6351598 11963204 12703196 23926408 25406392 28004773 56009546 112019092 224038184 308052503 616105006 1232210012 2464420024