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54001431 = 33111731051
BaseRepresentation
bin1100110111111…
…1111100010111
310202121120001000
43031333330113
5102311021211
65205234343
71224001401
oct315777427
9122546030
1054001431
1128534090
12161029b3
13b259813
147259b71
154b1a656
hex337ff17

54001431 has 32 divisors (see below), whose sum is σ = 87863040. Its totient is φ = 32508000.

The previous prime is 54001399. The next prime is 54001499. The reversal of 54001431 is 13410045.

It is a happy number.

It is not a de Polignac number, because 54001431 - 25 = 54001399 is a prime.

It is a super-2 number, since 2×540014312 = 5832309100095522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54001931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50856 + ... + 51906.

It is an arithmetic number, because the mean of its divisors is an integer number (2745720).

Almost surely, 254001431 is an apocalyptic number.

54001431 is a deficient number, since it is larger than the sum of its proper divisors (33861609).

54001431 is a wasteful number, since it uses less digits than its factorization.

54001431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 54001431 is about 7348.5665949218. The cubic root of 54001431 is about 377.9796537298.

Adding to 54001431 its reverse (13410045), we get a palindrome (67411476).

It can be divided in two parts, 540014 and 31, that added together give a palindrome (540045).

The spelling of 54001431 in words is "fifty-four million, one thousand, four hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 173 297 519 1051 1557 1903 3153 4671 5709 9459 11561 17127 28377 34683 51381 104049 181823 312147 545469 1636407 2000053 4909221 6000159 18000477 54001431