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49408866 = 2341329809
BaseRepresentation
bin1011110001111…
…0101101100010
310102222020020000
42330132231202
5100122040431
64523000430
71136653113
oct274365542
9112866200
1049408866
1125987681
1214669116
13a30c320
1467c220a
15450e9e6
hex2f1eb62

49408866 has 80 divisors (see below), whose sum is σ = 123492600. Its totient is φ = 14660352.

The previous prime is 49408859. The next prime is 49408867. The reversal of 49408866 is 66880494.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 43283241 + 6125625 = 6579^2 + 2475^2 .

It is not an unprimeable number, because it can be changed into a prime (49408867) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60670 + ... + 61478.

Almost surely, 249408866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49408866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61746300).

49408866 is an abundant number, since it is smaller than the sum of its proper divisors (74083734).

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

49408866 is a wasteful number, since it uses less digits than its factorization.

49408866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 49408866 is about 7029.1440446188. The cubic root of 49408866 is about 366.9455529312.

The spelling of 49408866 in words is "forty-nine million, four hundred eight thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 29 39 54 58 78 81 87 117 162 174 234 261 351 377 522 702 754 783 809 1053 1131 1566 1618 2106 2262 2349 2427 3393 4698 4854 6786 7281 10179 10517 14562 20358 21034 21843 23461 30537 31551 43686 46922 61074 63102 65529 70383 94653 131058 140766 189306 211149 283959 304993 422298 567918 609986 633447 851877 914979 1266894 1703754 1829958 1900341 2744937 3800682 5489874 8234811 16469622 24704433 49408866