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542184912 = 243219533739
BaseRepresentation
bin100000010100010…
…001010111010000
31101210012211212200
4200110101113100
52102244404122
6125444523200
716302332013
oct4024212720
91353184780
10542184912
1125905a605
121316b0500
1388435299
145201737a
15328ec5ac
hex205115d0

542184912 has 120 divisors (see below), whose sum is σ = 1627797600. Its totient is φ = 167940864.

The previous prime is 542184901. The next prime is 542184917. The reversal of 542184912 is 219481245.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542184917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143139 + ... + 146877.

It is an arithmetic number, because the mean of its divisors is an integer number (13564980).

Almost surely, 2542184912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542184912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813898800).

542184912 is an abundant number, since it is smaller than the sum of its proper divisors (1085612688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

542184912 is a wasteful number, since it uses less digits than its factorization.

542184912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825 (or 3816 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 542184912 is about 23284.8644402324. The cubic root of 542184912 is about 815.4220965838.

The spelling of 542184912 in words is "five hundred forty-two million, one hundred eighty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 53 57 72 76 106 114 144 152 159 171 212 228 304 318 342 424 456 477 636 684 848 912 954 1007 1272 1368 1908 2014 2544 2736 3021 3739 3816 4028 6042 7478 7632 8056 9063 11217 12084 14956 16112 18126 22434 24168 29912 33651 36252 44868 48336 59824 67302 71041 72504 89736 134604 142082 145008 179472 198167 213123 269208 284164 396334 426246 538416 568328 594501 639369 792668 852492 1136656 1189002 1278738 1585336 1704984 1783503 2378004 2557476 3170672 3409968 3567006 3765173 4756008 5114952 7134012 7530346 9512016 10229904 11295519 14268024 15060692 22591038 28536048 30121384 33886557 45182076 60242768 67773114 90364152 135546228 180728304 271092456 542184912