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542343912 = 233115383467
BaseRepresentation
bin100000010100111…
…000001011101000
31101210111220222120
4200110320023220
52102320001122
6125452151240
716303563405
oct4024701350
91353456876
10542343912
11259159010
12131768520
138848c776
14520592ac
153292e75c
hex205382e8

542343912 has 128 divisors (see below), whose sum is σ = 1528450560. Its totient is φ = 158961920.

The previous prime is 542343889. The next prime is 542343913. The reversal of 542343912 is 219343245.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (542343913) 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 31 ways as a sum of consecutive naturals, for example, 1161103 + ... + 1161569.

It is an arithmetic number, because the mean of its divisors is an integer number (11941020).

Almost surely, 2542343912 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 542343912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764225280).

542343912 is an abundant number, since it is smaller than the sum of its proper divisors (986106648).

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

542343912 is a wasteful number, since it uses less digits than its factorization.

542343912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 619 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 542343912 is about 23288.2784249931. The cubic root of 542343912 is about 815.5017984461.

The spelling of 542343912 in words is "five hundred forty-two million, three hundred forty-three thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 83 88 106 132 159 166 212 249 264 318 332 424 467 498 583 636 664 913 934 996 1166 1272 1401 1749 1826 1868 1992 2332 2739 2802 3498 3652 3736 4399 4664 5137 5478 5604 6996 7304 8798 10274 10956 11208 13197 13992 15411 17596 20548 21912 24751 26394 30822 35192 38761 41096 48389 49502 52788 61644 74253 77522 96778 99004 105576 116283 123288 145167 148506 155044 193556 198008 232566 272261 290334 297012 310088 387112 426371 465132 544522 580668 594024 816783 852742 930264 1089044 1161336 1279113 1633566 1705484 2054333 2178088 2558226 3267132 3410968 4108666 5116452 6162999 6534264 8217332 10232904 12325998 16434664 22597663 24651996 45195326 49303992 67792989 90390652 135585978 180781304 271171956 542343912