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49266128 = 2429891193
BaseRepresentation
bin1011101111101…
…1110111010000
310102200222102102
42323323313100
5100103004003
64515535532
71135520012
oct273736720
9112628372
1049266128
112589a40a
12145ba5a8
13a28c372
1467861b2
1544d2588
hex2efbdd0

49266128 has 40 divisors (see below), whose sum is σ = 99937800. Its totient is φ = 23496704.

The previous prime is 49266103. The next prime is 49266131. The reversal of 49266128 is 82166294.

It can be written as a sum of positive squares in 4 ways, for example, as 2917264 + 46348864 = 1708^2 + 6808^2 .

It is a super-2 number, since 2×492661282 = 4854302736224768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 49266091 and 49266100.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 40700 + ... + 41892.

It is an arithmetic number, because the mean of its divisors is an integer number (2498445).

Almost surely, 249266128 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 49266128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49968900).

49266128 is an abundant number, since it is smaller than the sum of its proper divisors (50671672).

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

49266128 is a wasteful number, since it uses less digits than its factorization.

49266128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1313 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 49266128 is about 7018.9834021744. The cubic root of 49266128 is about 366.5918539745.

It can be divided in two parts, 49266 and 128, that added together give a palindrome (49394).

The spelling of 49266128 in words is "forty-nine million, two hundred sixty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 29 58 89 116 178 232 356 464 712 1193 1424 2386 2581 4772 5162 9544 10324 19088 20648 34597 41296 69194 106177 138388 212354 276776 424708 553552 849416 1698832 3079133 6158266 12316532 24633064 49266128