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542368512 = 2832733629
BaseRepresentation
bin100000010100111…
…110001100000000
31101210120011201200
4200110332030000
52102321243022
6125452501200
716304025210
oct4024761400
91353504650
10542368512
11259175544
1213177a800
138849aa1a
1452064240
1532936bac
hex2053e300

542368512 has 108 divisors (see below), whose sum is σ = 1787232720. Its totient is φ = 154957824.

The previous prime is 542368511. The next prime is 542368523. The reversal of 542368512 is 215863245.

542368512 is a `hidden beast` number, since 542 + 3 + 68 + 51 + 2 = 666.

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 (542368511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 687 + ... + 32942.

Almost surely, 2542368512 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 542368512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893616360).

542368512 is an abundant number, since it is smaller than the sum of its proper divisors (1244864208).

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

542368512 is a wasteful number, since it uses less digits than its factorization.

542368512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33658 (or 33641 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 542368512 is about 23288.8065817036. The cubic root of 542368512 is about 815.5141282860.

The spelling of 542368512 in words is "five hundred forty-two million, three hundred sixty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 33629 67258 100887 134516 201774 235403 269032 302661 403548 470806 538064 605322 706209 807096 941612 1076128 1210644 1412418 1614192 1883224 2118627 2152256 2421288 2824836 3228384 3766448 4237254 4304512 4842576 5649672 6456768 7532896 8474508 8609024 9685152 11299344 12913536 15065792 16949016 19370304 22598688 25827072 30131584 33898032 38740608 45197376 60263168 67796064 77481216 90394752 135592128 180789504 271184256 542368512