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542804112 = 24336731867
BaseRepresentation
bin100000010110101…
…000100010010000
31101211101022021000
4200112220202100
52102424212422
6125510102000
716310521164
oct4026504220
91354338230
10542804112
11259442844
1213194a900
13885c1086
1452138ca4
15329c0cac
hex205a8890

542804112 has 80 divisors (see below), whose sum is σ = 1561199680. Its totient is φ = 180569088.

The previous prime is 542804083. The next prime is 542804123. The reversal of 542804112 is 211408245.

542804112 is a `hidden beast` number, since 542 + 8 + 0 + 4 + 112 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289803 + ... + 291669.

It is an arithmetic number, because the mean of its divisors is an integer number (19514996).

Almost surely, 2542804112 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 542804112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780599840).

542804112 is an abundant number, since it is smaller than the sum of its proper divisors (1018395568).

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

542804112 is a wasteful number, since it uses less digits than its factorization.

542804112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 542804112 is about 23298.1568369689. The cubic root of 542804112 is about 815.7323949482.

The spelling of 542804112 in words is "five hundred forty-two million, eight hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 673 1346 1867 2019 2692 3734 4038 5384 5601 6057 7468 8076 10768 11202 12114 14936 16152 16803 18171 22404 24228 29872 32304 33606 36342 44808 48456 50409 67212 72684 89616 96912 100818 134424 145368 201636 268848 290736 403272 806544 1256491 2512982 3769473 5025964 7538946 10051928 11308419 15077892 20103856 22616838 30155784 33925257 45233676 60311568 67850514 90467352 135701028 180934704 271402056 542804112