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542809967 = 7191405991
BaseRepresentation
bin100000010110101…
…001111101101111
31101211101121021212
4200112221331233
52102424404332
6125510145035
716310544230
oct4026517557
91354347255
10542809967
11259447187
1213195217b
13885c393b
145213b087
15329c28b2
hex205a9f6f

542809967 has 8 divisors (see below), whose sum is σ = 623603712. Its totient is φ = 462828600.

The previous prime is 542809961. The next prime is 542809973. The reversal of 542809967 is 769908245.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (542809961) and next prime (542809973).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 542809967 - 212 = 542805871 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542809961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201659 + ... + 204332.

It is an arithmetic number, because the mean of its divisors is an integer number (77950464).

Almost surely, 2542809967 is an apocalyptic number.

542809967 is a deficient number, since it is larger than the sum of its proper divisors (80793745).

542809967 is a wasteful number, since it uses less digits than its factorization.

542809967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406189.

The product of its (nonzero) digits is 1088640, while the sum is 50.

The square root of 542809967 is about 23298.2824903468. The cubic root of 542809967 is about 815.7353279252.

The spelling of 542809967 in words is "five hundred forty-two million, eight hundred nine thousand, nine hundred sixty-seven".

Divisors: 1 7 191 1337 405991 2841937 77544281 542809967