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49208336 = 24171131601
BaseRepresentation
bin1011101110110…
…1110000010000
310102121001010222
42323231300100
5100044131321
64514412212
71135156352
oct273556020
9112531128
1049208336
112585aa51
1214591068
13a26bc78
14676d0d2
1544c03ab
hex2eedc10

49208336 has 40 divisors (see below), whose sum is σ = 101906424. Its totient is φ = 22937600.

The previous prime is 49208329. The next prime is 49208371. The reversal of 49208336 is 63380294.

It is a happy number.

49208336 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 4 ways, for example, as 14868736 + 34339600 = 3856^2 + 5860^2 .

It is a junction number, because it is equal to n+sod(n) for n = 49208296 and 49208305.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 29936 + ... + 31536.

Almost surely, 249208336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49208336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50953212).

49208336 is an abundant number, since it is smaller than the sum of its proper divisors (52698088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49208336 is a wasteful number, since it uses less digits than its factorization.

49208336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 49208336 is about 7014.8653586509. The cubic root of 49208336 is about 366.4484534486.

The spelling of 49208336 in words is "forty-nine million, two hundred eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 68 113 136 226 272 452 904 1601 1808 1921 3202 3842 6404 7684 12808 15368 25616 27217 30736 54434 108868 180913 217736 361826 435472 723652 1447304 2894608 3075521 6151042 12302084 24604168 49208336