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49734464 = 2613232113
BaseRepresentation
bin1011110110111…
…0001101000000
310110120202212012
42331232031000
5100213000324
64533552052
71142510303
oct275561500
9113522765
1049734464
112608a26a
12147a5628
13a3c45a0
146868b3a
15457620e
hex2f6e340

49734464 has 84 divisors (see below), whose sum is σ = 112088676. Its totient is φ = 21762048.

The previous prime is 49734431. The next prime is 49734479. The reversal of 49734464 is 46443794.

It is a happy number.

49734464 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 2 ways, for example, as 3385600 + 46348864 = 1840^2 + 6808^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 440072 + ... + 440184.

It is an arithmetic number, because the mean of its divisors is an integer number (1334389).

Almost surely, 249734464 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 49734464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56044338).

49734464 is an abundant number, since it is smaller than the sum of its proper divisors (62354212).

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

49734464 is a wasteful number, since it uses less digits than its factorization.

49734464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 151 counting only the distinct ones).

The product of its digits is 290304, while the sum is 41.

The square root of 49734464 is about 7052.2665859991. The cubic root of 49734464 is about 367.7498299705.

The spelling of 49734464 in words is "forty-nine million, seven hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 113 184 208 226 299 368 416 452 529 598 736 832 904 1058 1196 1469 1472 1808 2116 2392 2599 2938 3616 4232 4784 5198 5876 6877 7232 8464 9568 10396 11752 13754 16928 19136 20792 23504 27508 33787 33856 41584 47008 55016 59777 67574 83168 94016 110032 119554 135148 166336 220064 239108 270296 440128 478216 540592 777101 956432 1081184 1554202 1912864 2162368 3108404 3825728 6216808 12433616 24867232 49734464