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542800116 = 223411531453
BaseRepresentation
bin100000010110100…
…111100011110100
31101211101002210000
4200112213203310
52102424100431
6125510031300
716310503425
oct4026474364
91354332700
10542800116
1125943a841
12131948530
13885bc301
145213764c
15329be9e6
hex205a78f4

542800116 has 60 divisors (see below), whose sum is σ = 1421194852. Its totient is φ = 180652032.

The previous prime is 542800103. The next prime is 542800121. The reversal of 542800116 is 611008245.

542800116 is a `hidden beast` number, since 542 + 8 + 0 + 0 + 116 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 490179600 + 52620516 = 22140^2 + 7254^2 .

It is a super-2 number, since 2×5428001162 = 589263931859226912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 542800116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 372846 + ... + 374298.

Almost surely, 2542800116 is an apocalyptic number.

It is an amenable number.

542800116 is an abundant number, since it is smaller than the sum of its proper divisors (878394736).

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

542800116 is a wasteful number, since it uses less digits than its factorization.

542800116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2622 (or 2611 counting only the distinct ones).

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

The square root of 542800116 is about 23298.0710789542. The cubic root of 542800116 is about 815.7303931980.

The spelling of 542800116 in words is "five hundred forty-two million, eight hundred thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1153 1453 2306 2906 3459 4359 4612 5812 6918 8718 10377 13077 13836 17436 20754 26154 31131 39231 41508 52308 62262 78462 93393 117693 124524 156924 186786 235386 373572 470772 1675309 3350618 5025927 6701236 10051854 15077781 20103708 30155562 45233343 60311124 90466686 135700029 180933372 271400058 542800116