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48308962849 = 7217218472
BaseRepresentation
bin101100111111011100…
…000100011000100001
311121200201211120202021
4230333130010120201
51242414043302344
634105352421441
73330066260200
oct547734043041
9147621746667
1048308962849
1119540171894
1294426a7881
13472b610c24
1424a3cdd237
1513cb1b1b84
hexb3f704621

48308962849 has 27 divisors (see below), whose sum is σ = 59728584243. Its totient is φ = 38950836288.

The previous prime is 48308962843. The next prime is 48308962859. The reversal of 48308962849 is 94826980384.

The square root of 48308962849 is 219793.

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

It can be written as a sum of positive squares in only one way, i.e., 37610784225 + 10698178624 = 193935^2 + 103432^2 .

It is not a de Polignac number, because 48308962849 - 23 = 48308962841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48308962841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26154444 + ... + 26156290.

Almost surely, 248308962849 is an apocalyptic number.

48308962849 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

48308962849 is the 219793-rd square number.

48308962849 is the 109897-th centered octagonal number.

It is an amenable number.

48308962849 is a deficient number, since it is larger than the sum of its proper divisors (11419621394).

48308962849 is an frugal number, since it uses more digits than its factorization.

48308962849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 61.

The spelling of 48308962849 in words is "forty-eight billion, three hundred eight million, nine hundred sixty-two thousand, eight hundred forty-nine".

Divisors: 1 7 17 49 119 289 833 1847 2023 12929 14161 31399 90503 219793 533783 1538551 3411409 3736481 23879863 26155367 57993953 167159041 405957671 985897201 2841703697 6901280407 48308962849