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542131161 = 3111319227293
BaseRepresentation
bin100000010100000…
…100001111011001
31101210010010010220
4200110010033121
52102241144121
6125443430253
716302016215
oct4024041731
91353103126
10542131161
11259023190
12131685389
1388416990
1452001945
15328db6c6
hex205043d9

542131161 has 64 divisors (see below), whose sum is σ = 900910080. Its totient is φ = 285085440.

The previous prime is 542131147. The next prime is 542131189. The reversal of 542131161 is 161131245.

It is a happy number.

It is not a de Polignac number, because 542131161 - 26 = 542131097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (542131061) 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 63 ways as a sum of consecutive naturals, for example, 1850131 + ... + 1850423.

It is an arithmetic number, because the mean of its divisors is an integer number (14076720).

Almost surely, 2542131161 is an apocalyptic number.

It is an amenable number.

542131161 is a deficient number, since it is larger than the sum of its proper divisors (358778919).

542131161 is a wasteful number, since it uses less digits than its factorization.

542131161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566.

The product of its digits is 720, while the sum is 24.

The square root of 542131161 is about 23283.7102069236. The cubic root of 542131161 is about 815.3951493187.

The spelling of 542131161 in words is "five hundred forty-two million, one hundred thirty-one thousand, one hundred sixty-one".

Divisors: 1 3 11 13 19 33 39 57 143 209 227 247 293 429 627 681 741 879 2497 2717 2951 3223 3809 4313 5567 7491 8151 8853 9669 11427 12939 16701 32461 41899 47443 56069 61237 66511 72371 97383 125697 142329 168207 183711 199533 217113 616759 731621 796081 864643 1263709 1850277 2194863 2388243 2593929 3791127 9511073 13900799 16428217 28533219 41702397 49284651 180710387 542131161