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2479342849 = 1722921012
BaseRepresentation
bin1001001111000111…
…1100010100000001
320101210022122222221
42103301330110001
520034202432344
61050004531041
7115304031544
oct22361742401
96353278887
102479342849
111062584a85
125923b0a81
13306878b99
141973d485b
15e79ea184
hex93c7c501

2479342849 has 27 divisors (see below), whose sum is σ = 2754991291. Its totient is φ = 2230726400.

The previous prime is 2479342837. The next prime is 2479342913. The reversal of 2479342849 is 9482439742.

The square root of 2479342849 is 49793.

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

It can be written as a sum of positive squares in 13 ways, for example, as 35820225 + 2443522624 = 5985^2 + 49432^2 .

It is not a de Polignac number, because 2479342849 - 27 = 2479342721 is a prime.

It is a super-2 number, since 2×24793428492 = 12294281925774873602, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2479342796 and 2479342805.

It is not an unprimeable number, because it can be changed into a prime (2479342829) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24547899 + ... + 24547999.

Almost surely, 22479342849 is an apocalyptic number.

2479342849 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2479342849 is the 49793-rd square number.

2479342849 is the 24897-th centered octagonal number.

It is an amenable number.

2479342849 is a deficient number, since it is larger than the sum of its proper divisors (275648442).

2479342849 is an equidigital number, since it uses as much as digits as its factorization.

2479342849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 147 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 52.

The cubic root of 2479342849 is about 1353.4603225508.

The spelling of 2479342849 in words is "two billion, four hundred seventy-nine million, three hundred forty-two thousand, eight hundred forty-nine".

Divisors: 1 17 29 101 289 493 841 1717 2929 8381 10201 14297 29189 49793 84941 173417 243049 295829 846481 1443997 2948089 5029093 8579041 24547949 85494581 145843697 2479342849