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48286014 = 2374761401
BaseRepresentation
bin1011100000110…
…0100100111110
310100212011221220
42320030210332
544330123024
64442534210
71124265360
oct270144476
9110764856
1048286014
112528aaa7
1214207366
13a00820a
1465acd30
15438be79
hex2e0c93e

48286014 has 64 divisors (see below), whose sum is σ = 114849792. Its totient is φ = 13248000.

The previous prime is 48286009. The next prime is 48286027. The reversal of 48286014 is 41068284.

48286014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 120214 + ... + 120614.

It is an arithmetic number, because the mean of its divisors is an integer number (1794528).

Almost surely, 248286014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48286014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57424896).

48286014 is an abundant number, since it is smaller than the sum of its proper divisors (66563778).

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

48286014 is a wasteful number, since it uses less digits than its factorization.

48286014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521.

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 48286014 is about 6948.8138556159. The cubic root of 48286014 is about 364.1445255899.

The spelling of 48286014 in words is "forty-eight million, two hundred eighty-six thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 47 61 94 122 141 183 282 329 366 401 427 658 802 854 987 1203 1281 1974 2406 2562 2807 2867 5614 5734 8421 8601 16842 17202 18847 20069 24461 37694 40138 48922 56541 60207 73383 113082 120414 131929 146766 171227 263858 342454 395787 513681 791574 1027362 1149667 2299334 3449001 6898002 8047669 16095338 24143007 48286014