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48073753 = 7213163463
BaseRepresentation
bin1011011101100…
…0110000011001
310100110101210101
42313120300121
544301330003
64434215401
71122422500
oct267306031
9110411711
1048073753
1125155582
1214124561
139c62710
146555837
15434911d
hex2dd8c19

48073753 has 24 divisors (see below), whose sum is σ = 60724608. Its totient is φ = 37721376.

The previous prime is 48073747. The next prime is 48073757. The reversal of 48073753 is 35737084.

48073753 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 48073753 - 29 = 48073241 is a prime.

It is a super-3 number, since 3×480737533 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (48073757) 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 23 ways as a sum of consecutive naturals, for example, 103600 + ... + 104062.

It is an arithmetic number, because the mean of its divisors is an integer number (2530192).

Almost surely, 248073753 is an apocalyptic number.

It is an amenable number.

48073753 is a deficient number, since it is larger than the sum of its proper divisors (12650855).

48073753 is a wasteful number, since it uses less digits than its factorization.

48073753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 48073753 is about 6933.5238515491. The cubic root of 48073753 is about 363.6101595568.

The spelling of 48073753 in words is "forty-eight million, seventy-three thousand, seven hundred fifty-three".

Divisors: 1 7 13 49 91 163 463 637 1141 2119 3241 6019 7987 14833 22687 42133 75469 103831 294931 528283 981097 3697981 6867679 48073753