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2442830625 = 32546592
BaseRepresentation
bin1001000110011010…
…1010001100100001
320022020121122122100
42101212222030201
520000331040000
61042222201013
7114351501114
oct22146521441
96266548570
102442830625
111043a06894
12582123169
132cc133a11
1419260c57b
15e46d6a00
hex919aa321

2442830625 has 45 divisors (see below), whose sum is σ = 4415955973. Its totient is φ = 1300866000.

The previous prime is 2442830603. The next prime is 2442830629. The reversal of 2442830625 is 5260382442.

The square root of 2442830625 is 49425.

It is a perfect power (a square), and thus also a powerful number.

2442830625 is a `hidden beast` number, since 2 + 4 + 4 + 28 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 191517921 + 2251312704 = 13839^2 + 47448^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2442830625 - 215 = 2442797857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2442830625.

It is not an unprimeable number, because it can be changed into a prime (2442830629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3706546 + ... + 3707204.

Almost surely, 22442830625 is an apocalyptic number.

2442830625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2442830625 is the 49425-th square number.

2442830625 is the 24713-rd centered octagonal number.

It is an amenable number.

2442830625 is a deficient number, since it is larger than the sum of its proper divisors (1973125348).

2442830625 is an frugal number, since it uses more digits than its factorization.

2442830625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The cubic root of 2442830625 is about 1346.7834947156.

Multiplying 2442830625 by its sum of digits (36), we get a square (87941902500 = 2965502).

The spelling of 2442830625 in words is "two billion, four hundred forty-two million, eight hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 659 1125 1875 1977 3295 5625 5931 9885 16475 29655 49425 82375 148275 247125 411875 434281 741375 1235625 1302843 2171405 3706875 3908529 6514215 10857025 19542645 32571075 54285125 97713225 162855375 271425625 488566125 814276875 2442830625