Search a number
-
+
2428592704 = 2629245121
BaseRepresentation
bin1001000011000001…
…0110001001000000
320021020211021212221
42100300112021000
514433204431304
61040553100424
7114116461126
oct22060261100
96236737787
102428592704
11103697170a
125793b7714
132c91ba205
14190783916
15e3323054
hex90c16240

2428592704 has 42 divisors (see below), whose sum is σ = 4991260274. Its totient is φ = 1172398080.

The previous prime is 2428592671. The next prime is 2428592707. The reversal of 2428592704 is 4072958242.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 35426304 + 2393166400 = 5952^2 + 48920^2 .

It is not an unprimeable number, because it can be changed into a prime (2428592707) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31264 + ... + 76384.

Almost surely, 22428592704 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 2428592704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495630137).

2428592704 is an abundant number, since it is smaller than the sum of its proper divisors (2562667570).

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

2428592704 is an equidigital number, since it uses as much as digits as its factorization.

2428592704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45191 (or 45152 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The square root of 2428592704 is about 49280.7538903374. The cubic root of 2428592704 is about 1344.1618403937.

The spelling of 2428592704 in words is "two billion, four hundred twenty-eight million, five hundred ninety-two thousand, seven hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 841 928 1682 1856 3364 6728 13456 26912 45121 53824 90242 180484 360968 721936 1308509 1443872 2617018 2887744 5234036 10468072 20936144 37946761 41872288 75893522 83744576 151787044 303574088 607148176 1214296352 2428592704