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54935541 = 3229210481
BaseRepresentation
bin1101000110001…
…1111111110101
310211101000101200
43101203333311
5103030414131
65241243113
71234641633
oct321437765
9124330350
1054935541
1129011981
1216493499
13b4c5a4b
147420353
154c522e6
hex3463ff5

54935541 has 12 divisors (see below), whose sum is σ = 82087980. Its totient is φ = 35360640.

The previous prime is 54935533. The next prime is 54935561. The reversal of 54935541 is 14553945.

It can be written as a sum of positive squares in 2 ways, for example, as 19580625 + 35354916 = 4425^2 + 5946^2 .

It is not a de Polignac number, because 54935541 - 23 = 54935533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54935496 and 54935505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54935521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104980 + ... + 105501.

It is an arithmetic number, because the mean of its divisors is an integer number (6840665).

Almost surely, 254935541 is an apocalyptic number.

It is an amenable number.

54935541 is a deficient number, since it is larger than the sum of its proper divisors (27152439).

54935541 is a wasteful number, since it uses less digits than its factorization.

54935541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210516 (or 210513 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 54935541 is about 7411.8513881486. The cubic root of 54935541 is about 380.1466216280.

The spelling of 54935541 in words is "fifty-four million, nine hundred thirty-five thousand, five hundred forty-one".

Divisors: 1 3 9 29 87 261 210481 631443 1894329 6103949 18311847 54935541