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542214405 = 3551726251
BaseRepresentation
bin100000010100011…
…000100100000101
31101210021100100000
4200110120210011
52102301330110
6125445311513
716302514005
oct4024304405
91353240300
10542214405
1125907a787
12131705599
1388445835
1452024005
15329061c0
hex20518905

542214405 has 48 divisors (see below), whose sum is σ = 1032018624. Its totient is φ = 272160000.

The previous prime is 542214403. The next prime is 542214461. The reversal of 542214405 is 504412245.

542214405 is a `hidden beast` number, since 5 + 42 + 214 + 405 = 666.

It is not a de Polignac number, because 542214405 - 21 = 542214403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542214403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7530 + ... + 33780.

It is an arithmetic number, because the mean of its divisors is an integer number (21500388).

Almost surely, 2542214405 is an apocalyptic number.

It is an amenable number.

542214405 is a deficient number, since it is larger than the sum of its proper divisors (489804219).

542214405 is a wasteful number, since it uses less digits than its factorization.

542214405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26288 (or 26276 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 542214405 is about 23285.4977400098. The cubic root of 542214405 is about 815.4368817043.

The spelling of 542214405 in words is "five hundred forty-two million, two hundred fourteen thousand, four hundred five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 243 255 405 459 765 1215 1377 2295 4131 6885 20655 26251 78753 131255 236259 393765 446267 708777 1181295 1338801 2126331 2231335 3543885 4016403 6378993 6694005 10631655 12049209 20082015 31894965 36147627 60246045 108442881 180738135 542214405