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54008361 = 32113071777
BaseRepresentation
bin1100111000000…
…1101000101001
310202121220112200
43032001220221
5102311231421
65205330413
71224030531
oct316015051
9122556480
1054008361
1128539310
1216106a09
13b25ca14
14725c4c1
154b1c726
hex3381a29

54008361 has 24 divisors (see below), whose sum is σ = 85429344. Its totient is φ = 32607360.

The previous prime is 54008329. The next prime is 54008389. The reversal of 54008361 is 16380045.

It is not a de Polignac number, because 54008361 - 25 = 54008329 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54008261) 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 23 ways as a sum of consecutive naturals, for example, 29505 + ... + 31281.

It is an arithmetic number, because the mean of its divisors is an integer number (3559556).

Almost surely, 254008361 is an apocalyptic number.

It is an amenable number.

54008361 is a deficient number, since it is larger than the sum of its proper divisors (31420983).

54008361 is a wasteful number, since it uses less digits than its factorization.

54008361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 54008361 is about 7349.0381003231. The cubic root of 54008361 is about 377.9958217393.

The spelling of 54008361 in words is "fifty-four million, eight thousand, three hundred sixty-one".

Divisors: 1 3 9 11 33 99 307 921 1777 2763 3377 5331 10131 15993 19547 30393 58641 175923 545539 1636617 4909851 6000929 18002787 54008361