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540401675 = 52112385439
BaseRepresentation
bin100000001101011…
…110000000001011
31101122212020201212
4200031132000023
52101320323200
6125342403335
716251224042
oct4015360013
91348766655
10540401675
11258051860
12130b9054b
1387c5c708
1451ab1559
1532699035
hex2035e00b

540401675 has 24 divisors (see below), whose sum is σ = 762808320. Its totient is φ = 375927200.

The previous prime is 540401671. The next prime is 540401731. The reversal of 540401675 is 576104045.

It is not a de Polignac number, because 540401675 - 22 = 540401671 is a prime.

It is not an unprimeable number, because it can be changed into a prime (540401671) 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, 36395 + ... + 49044.

It is an arithmetic number, because the mean of its divisors is an integer number (31783680).

Almost surely, 2540401675 is an apocalyptic number.

540401675 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

540401675 is a deficient number, since it is larger than the sum of its proper divisors (222406645).

540401675 is a wasteful number, since it uses less digits than its factorization.

540401675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85483 (or 85478 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 540401675 is about 23246.5411405654. The cubic root of 540401675 is about 814.5271448798.

The spelling of 540401675 in words is "five hundred forty million, four hundred one thousand, six hundred seventy-five".

Divisors: 1 5 11 23 25 55 115 253 275 575 1265 6325 85439 427195 939829 1965097 2135975 4699145 9825485 21616067 23495725 49127425 108080335 540401675