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542160333 = 32111331107127
BaseRepresentation
bin100000010100001…
…011010111001101
31101210011121011100
4200110023113031
52102243112313
6125444213313
716302200241
oct4024132715
91353147140
10542160333
112590430a0
1213169a239
1388427040
145200c421
15328e5173
hex2050b5cd

542160333 has 96 divisors (see below), whose sum is σ = 966131712. Its totient is φ = 288489600.

The previous prime is 542160319. The next prime is 542160361. The reversal of 542160333 is 333061245.

It is a happy number.

542160333 is a `hidden beast` number, since 5 + 4 + 21 + 603 + 33 = 666.

It is not a de Polignac number, because 542160333 - 24 = 542160317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 542160297 and 542160306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542160533) 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 95 ways as a sum of consecutive naturals, for example, 4268916 + ... + 4269042.

It is an arithmetic number, because the mean of its divisors is an integer number (10063872).

Almost surely, 2542160333 is an apocalyptic number.

It is an amenable number.

542160333 is a deficient number, since it is larger than the sum of its proper divisors (423971379).

542160333 is a wasteful number, since it uses less digits than its factorization.

542160333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 542160333 is about 23284.3366450496. The cubic root of 542160333 is about 815.4097744884.

The spelling of 542160333 in words is "five hundred forty-two million, one hundred sixty thousand, three hundred thirty-three".

Divisors: 1 3 9 11 13 31 33 39 93 99 107 117 127 143 279 321 341 381 403 429 963 1023 1143 1177 1209 1287 1391 1397 1651 3069 3317 3531 3627 3937 4173 4191 4433 4953 9951 10593 11811 12519 12573 13299 13589 14859 15301 18161 29853 35433 36487 39897 40767 43121 43307 45903 51181 54483 109461 122301 129363 129921 137709 149479 153543 163449 176657 328383 388089 389763 421259 448437 460629 474331 529971 562991 1263777 1345311 1422993 1589913 1688973 1943227 3791331 4268979 4633849 5066919 5476367 5829681 13901547 16429101 17489043 41704641 49287303 60240037 180720111 542160333