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542143368 = 233413139463
BaseRepresentation
bin100000010100000…
…111001110001000
31101210010201220000
4200110013032020
52102242041433
6125444003000
716302066624
oct4024071610
91353121800
10542143368
11259031378
12131690460
138841c3c0
1452006184
15328e0113
hex20507388

542143368 has 160 divisors (see below), whose sum is σ = 1650633600. Its totient is φ = 165255552.

The previous prime is 542143367. The next prime is 542143439. The reversal of 542143368 is 863341245.

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

It is not an unprimeable number, because it can be changed into a prime (542143361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1170705 + ... + 1171167.

It is an arithmetic number, because the mean of its divisors is an integer number (10316460).

Almost surely, 2542143368 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 542143368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825316800).

542143368 is an abundant number, since it is smaller than the sum of its proper divisors (1108490232).

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

542143368 is a wasteful number, since it uses less digits than its factorization.

542143368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 620 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 542143368 is about 23283.9723415056. The cubic root of 542143368 is about 815.4012692731.

The spelling of 542143368 in words is "five hundred forty-two million, one hundred forty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 139 156 162 216 234 278 312 324 351 417 463 468 556 648 702 834 926 936 1053 1112 1251 1389 1404 1668 1807 1852 2106 2502 2778 2808 3336 3614 3704 3753 4167 4212 5004 5421 5556 6019 7228 7506 8334 8424 10008 10842 11112 11259 12038 12501 14456 15012 16263 16668 18057 21684 22518 24076 25002 30024 32526 33336 36114 37503 43368 45036 48152 48789 50004 54171 64357 65052 72228 75006 90072 97578 100008 108342 128714 130104 144456 146367 150012 162513 193071 195156 216684 257428 292734 300024 325026 386142 390312 433368 487539 514856 579213 585468 650052 772284 836641 975078 1158426 1170936 1300104 1544568 1673282 1737639 1950156 2316852 2509923 3346564 3475278 3900312 4633704 5019846 5212917 6693128 6950556 7529769 10039692 10425834 13901112 15059538 20079384 20851668 22589307 30119076 41703336 45178614 60238152 67767921 90357228 135535842 180714456 271071684 542143368