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49277340225 = 345249332
BaseRepresentation
bin101101111001001010…
…001000101001000001
311201012020000020210000
4231321022020221001
51301404444341400
634345424230213
73363065323641
oct557112105101
9151166006700
1049277340225
1119997857073
129672a6b369
1348541286a9
142556778521
1514361e8600
hexb79288a41

49277340225 has 45 divisors (see below), whose sum is σ = 91297175673. Its totient is φ = 26275920480.

The previous prime is 49277340193. The next prime is 49277340253. The reversal of 49277340225 is 52204377294.

The square root of 49277340225 is 221985.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5318347329 + 43958992896 = 72927^2 + 209664^2 .

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

It is not a de Polignac number, because 49277340225 - 25 = 49277340193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9986859 + ... + 9991791.

Almost surely, 249277340225 is an apocalyptic number.

49277340225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

49277340225 is the 221985-th square number.

49277340225 is the 110993-rd centered octagonal number.

It is an amenable number.

49277340225 is a deficient number, since it is larger than the sum of its proper divisors (42019835448).

49277340225 is an frugal number, since it uses more digits than its factorization.

49277340225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9888 (or 4941 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 49277340225 in words is "forty-nine billion, two hundred seventy-seven million, three hundred forty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 4933 14799 24665 44397 73995 123325 133191 221985 369975 399573 665955 1109925 1997865 3329775 9989325 24334489 73003467 121672445 219010401 365017335 608362225 657031203 1095052005 1825086675 1971093609 3285156015 5475260025 9855468045 16425780075 49277340225