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48485216 = 2513294019
BaseRepresentation
bin1011100011110…
…1001101100000
310101020022012202
42320331031200
544403011331
64451112332
71126055213
oct270751540
9111208182
1048485216
112540672a
12142a26a8
13a077aa0
14662177a
1543caecb
hex2e3d360

48485216 has 48 divisors (see below), whose sum is σ = 106369200. Its totient is φ = 21600768.

The previous prime is 48485191. The next prime is 48485221. The reversal of 48485216 is 61258484.

It is a happy number.

48485216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 48485216.

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 7 ways as a sum of consecutive naturals, for example, 10055 + ... + 14073.

It is an arithmetic number, because the mean of its divisors is an integer number (2216025).

Almost surely, 248485216 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 48485216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53184600).

48485216 is an abundant number, since it is smaller than the sum of its proper divisors (57883984).

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

48485216 is a wasteful number, since it uses less digits than its factorization.

48485216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071 (or 4063 counting only the distinct ones).

The product of its digits is 61440, while the sum is 38.

The square root of 48485216 is about 6963.1326283505. The cubic root of 48485216 is about 364.6445930593.

The spelling of 48485216 in words is "forty-eight million, four hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 3016 4019 6032 8038 12064 16076 32152 52247 64304 104494 116551 128608 208988 233102 417976 466204 835952 932408 1515163 1671904 1864816 3030326 3729632 6060652 12121304 24242608 48485216