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48029216 = 251788289
BaseRepresentation
bin1011011100110…
…1111000100000
310100101010200212
42313031320200
544243413331
64433233252
71122145604
oct267157040
9110333625
1048029216
1125125074
1214102828
139c48371
146543504
15433ad2b
hex2dcde20

48029216 has 24 divisors (see below), whose sum is σ = 100120860. Its totient is φ = 22601728.

The previous prime is 48029213. The next prime is 48029227. The reversal of 48029216 is 61292084.

48029216 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 42250000 + 5779216 = 6500^2 + 2404^2 .

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

It is not an unprimeable number, because it can be changed into a prime (48029213) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 43601 + ... + 44688.

Almost surely, 248029216 is an apocalyptic number.

It is an amenable number.

48029216 is an abundant number, since it is smaller than the sum of its proper divisors (52091644).

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

48029216 is a wasteful number, since it uses less digits than its factorization.

48029216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88316 (or 88308 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 48029216 is about 6930.3113927153. The cubic root of 48029216 is about 363.4978383271.

The spelling of 48029216 in words is "forty-eight million, twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 88289 176578 353156 706312 1412624 1500913 2825248 3001826 6003652 12007304 24014608 48029216