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54906753 = 31117971009
BaseRepresentation
bin1101000101110…
…0111110000001
310211022112220110
43101130332001
5103024004003
65240501533
71234461666
oct321347601
9124275813
1054906753
1128aa2290
121647a8a9
13b4b5905
147413a6d
154c48a03
hex345cf81

54906753 has 32 divisors (see below), whose sum is σ = 85518720. Its totient is φ = 30965760.

The previous prime is 54906737. The next prime is 54906767. The reversal of 54906753 is 35760945.

54906753 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 54906753 - 24 = 54906737 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (54906653) 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, 53913 + ... + 54921.

It is an arithmetic number, because the mean of its divisors is an integer number (2672460).

Almost surely, 254906753 is an apocalyptic number.

It is an amenable number.

54906753 is a deficient number, since it is larger than the sum of its proper divisors (30611967).

54906753 is a wasteful number, since it uses less digits than its factorization.

54906753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137.

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 54906753 is about 7409.9091087543. The cubic root of 54906753 is about 380.0802069845.

The spelling of 54906753 in words is "fifty-four million, nine hundred six thousand, seven hundred fifty-three".

Divisors: 1 3 11 17 33 51 97 187 291 561 1009 1067 1649 3027 3201 4947 11099 17153 18139 33297 51459 54417 97873 188683 293619 566049 1076603 1663841 3229809 4991523 18302251 54906753