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540052317 = 32718774567
BaseRepresentation
bin100000001100001…
…000101101011101
31101122012111111200
4200030020231131
52101223133232
6125331110113
716245240360
oct4014105535
91348174450
10540052317
11257933332
12130a42339
1387b696ac
1451a200d7
153262a77c
hex20308b5d

540052317 has 24 divisors (see below), whose sum is σ = 892185216. Its totient is φ = 308369376.

The previous prime is 540052301. The next prime is 540052363. The reversal of 540052317 is 713250045.

It is a happy number.

It is not a de Polignac number, because 540052317 - 24 = 540052301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540052367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115968 + ... + 120534.

It is an arithmetic number, because the mean of its divisors is an integer number (37174384).

Almost surely, 2540052317 is an apocalyptic number.

It is an amenable number.

540052317 is a deficient number, since it is larger than the sum of its proper divisors (352132899).

540052317 is a wasteful number, since it uses less digits than its factorization.

540052317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6457 (or 6454 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 540052317 is about 23239.0257325904. The cubic root of 540052317 is about 814.3515823119.

The spelling of 540052317 in words is "five hundred forty million, fifty-two thousand, three hundred seventeen".

Divisors: 1 3 7 9 21 63 1877 4567 5631 13139 13701 16893 31969 39417 41103 95907 118251 287721 8572259 25716777 60005813 77150331 180017439 540052317