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542789967 = 31973130447
BaseRepresentation
bin100000010110100…
…101000101001111
31101211100120212010
4200112211011033
52102423234332
6125505512303
716310432016
oct4026450517
91354316763
10542789967
11259433155
12131942693
13885b77c5
1452133a7d
15329bb9cc
hex205a514f

542789967 has 16 divisors (see below), whose sum is σ = 772252160. Its totient is φ = 338116032.

The previous prime is 542789953. The next prime is 542789969. The reversal of 542789967 is 769987245.

It is not a de Polignac number, because 542789967 - 211 = 542787919 is a prime.

It is a super-2 number, since 2×5427899672 = 589241896551722178, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542789969) 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 15 ways as a sum of consecutive naturals, for example, 61063 + ... + 69384.

It is an arithmetic number, because the mean of its divisors is an integer number (48265760).

Almost surely, 2542789967 is an apocalyptic number.

542789967 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

542789967 is a deficient number, since it is larger than the sum of its proper divisors (229462193).

542789967 is a wasteful number, since it uses less digits than its factorization.

542789967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130542.

The product of its digits is 7620480, while the sum is 57.

The square root of 542789967 is about 23297.8532702050. The cubic root of 542789967 is about 815.7253091293.

The spelling of 542789967 in words is "five hundred forty-two million, seven hundred eighty-nine thousand, nine hundred sixty-seven".

Divisors: 1 3 19 57 73 219 1387 4161 130447 391341 2478493 7435479 9522631 28567893 180929989 542789967