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542624544 = 253271124469
BaseRepresentation
bin100000010101111…
…100101100100000
31101211001011221100
4200111330230200
52102402441134
6125502154400
716306142520
oct4025745440
91354034840
10542624544
1125932a940
12131882a00
138855a417
14520cd680
1532987999
hex2057cb20

542624544 has 144 divisors (see below), whose sum is σ = 1923929280. Its totient is φ = 140935680.

The previous prime is 542624521. The next prime is 542624557. The reversal of 542624544 is 445426245.

542624544 is a `hidden beast` number, since 54 + 2 + 62 + 4 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 542624499 and 542624508.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9942 + ... + 34410.

It is an arithmetic number, because the mean of its divisors is an integer number (13360620).

Almost surely, 2542624544 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 542624544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961964640).

542624544 is an abundant number, since it is smaller than the sum of its proper divisors (1381304736).

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

542624544 is a wasteful number, since it uses less digits than its factorization.

542624544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24503 (or 24492 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The square root of 542624544 is about 23294.3028227934. The cubic root of 542624544 is about 815.6424327273.

The spelling of 542624544 in words is "five hundred forty-two million, six hundred twenty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 7392 11088 22176 24469 48938 73407 97876 146814 171283 195752 220221 269159 293628 342566 391504 440442 513849 538318 587256 685132 783008 807477 880884 1027698 1076636 1174512 1370264 1541547 1614954 1761768 1884113 2055396 2153272 2349024 2422431 2740528 3083094 3229908 3523536 3768226 4110792 4306544 4844862 5481056 5652339 6166188 6459816 7047072 7536452 8221584 8613088 9689724 11304678 12332376 12919632 15072904 16443168 16957017 19379448 22609356 24664752 25839264 30145808 33914034 38758896 45218712 49329504 60291616 67828068 77517792 90437424 135656136 180874848 271312272 542624544