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834050048 = 2111331327
BaseRepresentation
bin110001101101101…
…001100000000000
32011010102010120112
4301231221200000
53202004100143
6214432330452
726445210536
oct6155514000
92133363515
10834050048
11398888167
121b33a3a28
13103a45450
147cab0156
154d350e18
hex31b69800

834050048 has 48 divisors (see below), whose sum is σ = 1796034240. Its totient is φ = 384933888.

The previous prime is 834050033. The next prime is 834050051. The reversal of 834050048 is 840050438.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 834049996 and 834050023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10961 + ... + 42287.

It is an arithmetic number, because the mean of its divisors is an integer number (37417380).

Almost surely, 2834050048 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 834050048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898017120).

834050048 is an abundant number, since it is smaller than the sum of its proper divisors (961984192).

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

834050048 is a wasteful number, since it uses less digits than its factorization.

834050048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31362 (or 31342 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 834050048 is about 28879.9246536413. The cubic root of 834050048 is about 941.3057333049.

The spelling of 834050048 in words is "eight hundred thirty-four million, fifty thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 6656 13312 26624 31327 62654 125308 250616 407251 501232 814502 1002464 1629004 2004928 3258008 4009856 6516016 8019712 13032032 16039424 26064064 32078848 52128128 64157696 104256256 208512512 417025024 834050048