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542541069 = 32741247109
BaseRepresentation
bin100000010101101…
…000010100001101
31101210212221102200
4200111220110031
52102342303234
6125500312113
716305344250
oct4025502415
91353787380
10542541069
11259283154
12131842639
138852b425
14520ab097
153296cd99
hex2056850d

542541069 has 72 divisors (see below), whose sum is σ = 946133760. Its totient is φ = 293310720.

The previous prime is 542541059. The next prime is 542541073. The reversal of 542541069 is 960145245.

542541069 is a `hidden beast` number, since 54 + 2 + 541 + 0 + 69 = 666.

It is not a de Polignac number, because 542541069 - 211 = 542539021 is a prime.

It is a super-2 number, since 2×5425410692 = 588701623103325522, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542541059) 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 71 ways as a sum of consecutive naturals, for example, 4977387 + ... + 4977495.

Almost surely, 2542541069 is an apocalyptic number.

It is an amenable number.

542541069 is a deficient number, since it is larger than the sum of its proper divisors (403592691).

542541069 is a wasteful number, since it uses less digits than its factorization.

542541069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 542541069 is about 23292.5110067592. The cubic root of 542541069 is about 815.6006056209.

The spelling of 542541069 in words is "five hundred forty-two million, five hundred forty-one thousand, sixty-nine".

Divisors: 1 3 7 9 21 41 47 63 109 123 141 287 327 329 369 423 763 861 981 987 1681 1927 2289 2583 2961 4469 5043 5123 5781 6867 11767 13407 13489 15129 15369 17343 31283 35301 35861 40221 40467 46107 79007 93849 105903 107583 121401 183229 210043 237021 281547 322749 549687 553049 630129 711063 1282603 1470301 1649061 1659147 1890387 3847809 4410903 4977441 8611763 11543427 13232709 25835289 60282341 77505867 180847023 542541069