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542018016 = 25321999053
BaseRepresentation
bin100000010011101…
…000100111100000
31101202220100221100
4200103220213200
52102224034031
6125441154400
716301035311
oct4023504740
91352810840
10542018016
11258a56181
1213162ba00
13883a7327
1451db2608
15328b7de6
hex204e89e0

542018016 has 72 divisors (see below), whose sum is σ = 1622504520. Its totient is φ = 171161856.

The previous prime is 542017979. The next prime is 542018027. The reversal of 542018016 is 610810245.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 44055 + ... + 54998.

It is an arithmetic number, because the mean of its divisors is an integer number (22534785).

Almost surely, 2542018016 is an apocalyptic number.

It is an amenable number.

542018016 is an abundant number, since it is smaller than the sum of its proper divisors (1080486504).

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

542018016 is a wasteful number, since it uses less digits than its factorization.

542018016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99088 (or 99077 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 542018016 is about 23281.2803771614. The cubic root of 542018016 is about 815.3384199331.

It can be divided in two parts, 5420 and 18016, that added together give a triangular number (23436 = T216).

The spelling of 542018016 in words is "five hundred forty-two million, eighteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 99053 198106 297159 396212 594318 792424 891477 1188636 1584848 1782954 1882007 2377272 3169696 3565908 3764014 4754544 5646021 7131816 7528028 9509088 11292042 14263632 15056056 16938063 22584084 28527264 30112112 33876126 45168168 60224224 67752252 90336336 135504504 180672672 271009008 542018016