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54013005 = 3253121249
BaseRepresentation
bin1100111000001…
…0110001001101
310202122010220200
43032002301031
5102311404010
65205404113
71224050214
oct316026115
9122563820
1054013005
1128541852
1216109639
13b261b77
14726007b
154b1dcc0
hex3382c4d

54013005 has 36 divisors (see below), whose sum is σ = 96817500. Its totient is φ = 27855360.

The previous prime is 54012971. The next prime is 54013009. The reversal of 54013005 is 50031045.

It can be written as a sum of positive squares in 2 ways, for example, as 20766249 + 33246756 = 4557^2 + 5766^2 .

It is not a de Polignac number, because 54013005 - 29 = 54012493 is a prime.

It is a super-3 number, since 3×540130053 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54013009) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42621 + ... + 43869.

It is an arithmetic number, because the mean of its divisors is an integer number (2689375).

Almost surely, 254013005 is an apocalyptic number.

It is an amenable number.

54013005 is a deficient number, since it is larger than the sum of its proper divisors (42804495).

54013005 is a wasteful number, since it uses less digits than its factorization.

54013005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 54013005 is about 7349.3540532485. The cubic root of 54013005 is about 378.0066556315.

The spelling of 54013005 in words is "fifty-four million, thirteen thousand, five".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 961 1249 1395 2883 3747 4805 6245 8649 11241 14415 18735 38719 43245 56205 116157 193595 348471 580785 1200289 1742355 3600867 6001445 10802601 18004335 54013005