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542345405 = 57192359601
BaseRepresentation
bin100000010100111…
…000100010111101
31101210112000000212
4200110320202331
52102320023110
6125452202205
716303600640
oct4024704275
91353460025
10542345405
1125915a148
12131769365
1388490354
1452059a57
153292ee05
hex205388bd

542345405 has 64 divisors (see below), whose sum is σ = 832204800. Its totient is φ = 330739200.

The previous prime is 542345399. The next prime is 542345411. The reversal of 542345405 is 504543245.

It is an interprime number because it is at equal distance from previous prime (542345399) and next prime (542345411).

It is not a de Polignac number, because 542345405 - 24 = 542345389 is a prime.

It is a super-2 number, since 2×5423454052 = 588277076649228050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 902105 + ... + 902705.

It is an arithmetic number, because the mean of its divisors is an integer number (13003200).

Almost surely, 2542345405 is an apocalyptic number.

It is an amenable number.

542345405 is a deficient number, since it is larger than the sum of its proper divisors (289859395).

542345405 is a wasteful number, since it uses less digits than its factorization.

542345405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714.

The product of its (nonzero) digits is 48000, while the sum is 32.

The square root of 542345405 is about 23288.3104797235. The cubic root of 542345405 is about 815.5025467677.

The spelling of 542345405 in words is "five hundred forty-two million, three hundred forty-five thousand, four hundred five".

Divisors: 1 5 7 19 23 35 59 95 115 133 161 295 413 437 601 665 805 1121 1357 2065 2185 3005 3059 4207 5605 6785 7847 9499 11419 13823 15295 21035 25783 35459 39235 47495 57095 69115 79933 96761 128915 177295 180481 248213 262637 399665 483805 673721 815557 902405 1241065 1313185 1838459 3368605 4077785 4716047 5708899 9192295 15495583 23580235 28544495 77477915 108469081 542345405