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49098049 = 74112132
BaseRepresentation
bin1011101101001…
…0110101000001
310102101102212021
42323102311001
5100032114144
64512201441
71134220000
oct273226501
9112342767
1049098049
1125795100
1214539281
13a230a00
146740c37
15449c884
hex2ed2d41

49098049 has 45 divisors (see below), whose sum is σ = 68173539. Its totient is φ = 35315280.

The previous prime is 49098043. The next prime is 49098053. The reversal of 49098049 is 94089094.

The square root of 49098049 is 7007.

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

49098049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7263025 + 41835024 = 2695^2 + 6468^2 .

It is not a de Polignac number, because 49098049 - 23 = 49098041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 49097996 and 49098014.

It is not an unprimeable number, because it can be changed into a prime (49098041) 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, 3776767 + ... + 3776779.

Almost surely, 249098049 is an apocalyptic number.

49098049 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

49098049 is the 7007-th square number.

49098049 is the 3504-th centered octagonal number.

It is an amenable number.

49098049 is a deficient number, since it is larger than the sum of its proper divisors (19075490).

49098049 is an equidigital number, since it uses as much as digits as its factorization.

49098049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The cubic root of 49098049 is about 366.1744840754.

The spelling of 49098049 in words is "forty-nine million, ninety-eight thousand, forty-nine".

Divisors: 1 7 11 13 49 77 91 121 143 169 343 539 637 847 1001 1183 1573 1859 2401 3773 4459 5929 7007 8281 11011 13013 20449 26411 31213 41503 49049 57967 77077 91091 143143 290521 343343 405769 539539 637637 1002001 3776773 4463459 7014007 49098049