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542016896 = 2723315939
BaseRepresentation
bin100000010011101…
…000010110000000
31101202220022101212
4200103220112000
52102224020041
6125441145252
716301032121
oct4023502600
91352808355
10542016896
11258a55353
1213162b228
13883a6975
1451db2048
15328b78eb
hex204e8580

542016896 has 64 divisors (see below), whose sum is σ = 1163289600. Its totient is φ = 250821120.

The previous prime is 542016859. The next prime is 542016901. The reversal of 542016896 is 698610245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88295 + ... + 94233.

It is an arithmetic number, because the mean of its divisors is an integer number (18176400).

Almost surely, 2542016896 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 542016896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581644800).

542016896 is an abundant number, since it is smaller than the sum of its proper divisors (621272704).

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

542016896 is a wasteful number, since it uses less digits than its factorization.

542016896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6007 (or 5995 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 542016896 is about 23281.2563234891. The cubic root of 542016896 is about 815.3378583406.

The spelling of 542016896 in words is "five hundred forty-two million, sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 128 184 248 368 496 713 736 992 1426 1472 1984 2852 2944 3968 5704 5939 11408 11878 22816 23756 45632 47512 91264 95024 136597 184109 190048 273194 368218 380096 546388 736436 760192 1092776 1472872 2185552 2945744 4234507 4371104 5891488 8469014 8742208 11782976 16938028 17484416 23565952 33876056 67752112 135504224 271008448 542016896