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541000053 = 34111931957
BaseRepresentation
bin100000001111110…
…000000101110101
31101200222122120000
4200033300011311
52101444000203
6125403301513
716256265426
oct4017600565
91350878500
10541000053
11258420390
1213121a899
138810bb99
1451bc964d
15327664a3
hex203f0175

541000053 has 40 divisors (see below), whose sum is σ = 928060320. Its totient is φ = 310612320.

The previous prime is 541000039. The next prime is 541000069. The reversal of 541000053 is 350000145.

It is not a de Polignac number, because 541000053 - 26 = 540999989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541000013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 951 + ... + 32907.

It is an arithmetic number, because the mean of its divisors is an integer number (23201508).

Almost surely, 2541000053 is an apocalyptic number.

It is an amenable number.

541000053 is a deficient number, since it is larger than the sum of its proper divisors (387060267).

541000053 is a wasteful number, since it uses less digits than its factorization.

541000053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31999 (or 31990 counting only the distinct ones).

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

The square root of 541000053 is about 23259.4078385500. The cubic root of 541000053 is about 814.8276715449.

Adding to 541000053 its reverse (350000145), we get a palindrome (891000198).

The spelling of 541000053 in words is "five hundred forty-one million, fifty-three", and thus it is an aban number.

Divisors: 1 3 9 11 19 27 33 57 81 99 171 209 297 513 627 891 1539 1881 5643 16929 31957 95871 287613 351527 607183 862839 1054581 1821549 2588517 3163743 5464647 6679013 9491229 16393941 20037039 28473687 49181823 60111117 180333351 541000053