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48605601 = 31117233767
BaseRepresentation
bin1011100101101…
…0100110100001
310101110102100110
42321122212201
544420334401
64453441533
71130066202
oct271324641
9111412313
1048605601
1125489120
12143402a9
13a0ba815
1466535a9
1544019d6
hex2e5a9a1

48605601 has 32 divisors (see below), whose sum is σ = 78133248. Its totient is φ = 26512640.

The previous prime is 48605581. The next prime is 48605617. The reversal of 48605601 is 10650684.

48605601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 48605601 - 218 = 48343457 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (48605621) 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 31 ways as a sum of consecutive naturals, for example, 11020 + ... + 14786.

It is an arithmetic number, because the mean of its divisors is an integer number (2441664).

Almost surely, 248605601 is an apocalyptic number.

It is an amenable number.

48605601 is a deficient number, since it is larger than the sum of its proper divisors (29527647).

48605601 is a wasteful number, since it uses less digits than its factorization.

48605601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3821.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 48605601 is about 6971.7717260392. The cubic root of 48605601 is about 364.9461382960.

The spelling of 48605601 in words is "forty-eight million, six hundred five thousand, six hundred one".

Divisors: 1 3 11 17 23 33 51 69 187 253 391 561 759 1173 3767 4301 11301 12903 41437 64039 86641 124311 192117 259923 704429 953051 1472897 2113287 2859153 4418691 16201867 48605601