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54768133 = 725321089
BaseRepresentation
bin1101000011101…
…1001000000101
310211001111202101
43100323020011
5103010040013
65233512101
71233343600
oct320731005
9124044671
1054768133
1128a08122
1216412631
13b4677a4
1473b9337
154c1c8dd
hex343b205

54768133 has 12 divisors (see below), whose sum is σ = 64915020. Its totient is φ = 46056192.

The previous prime is 54768121. The next prime is 54768137. The reversal of 54768133 is 33186745.

It can be written as a sum of positive squares in 2 ways, for example, as 48902049 + 5866084 = 6993^2 + 2422^2 .

It is not a de Polignac number, because 54768133 - 29 = 54767621 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54768092 and 54768101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54768137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7948 + ... + 13141.

It is an arithmetic number, because the mean of its divisors is an integer number (5409585).

Almost surely, 254768133 is an apocalyptic number.

54768133 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

54768133 is a deficient number, since it is larger than the sum of its proper divisors (10146887).

54768133 is a wasteful number, since it uses less digits than its factorization.

54768133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21156 (or 21149 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 54768133 is about 7400.5495066245. The cubic root of 54768133 is about 379.7600817048.

The spelling of 54768133 in words is "fifty-four million, seven hundred sixty-eight thousand, one hundred thirty-three".

Divisors: 1 7 49 53 371 2597 21089 147623 1033361 1117717 7824019 54768133