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542725344 = 25327269209
BaseRepresentation
bin100000010110010…
…101010011100000
31101211020022012200
4200112111103200
52102414202334
6125504253200
716310042430
oct4026252340
91354208180
10542725344
11259399647
12131911200
1388594275
14521182c0
15329a7799
hex205954e0

542725344 has 72 divisors (see below), whose sum is σ = 1763863920. Its totient is φ = 155063808.

The previous prime is 542725333. The next prime is 542725369. The reversal of 542725344 is 443527245.

542725344 is a `hidden beast` number, since 54 + 2 + 72 + 534 + 4 = 666.

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

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 = 542725299 and 542725308.

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, 132589 + ... + 136620.

It is an arithmetic number, because the mean of its divisors is an integer number (24498110).

Almost surely, 2542725344 is an apocalyptic number.

It is an amenable number.

542725344 is an abundant number, since it is smaller than the sum of its proper divisors (1221138576).

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

542725344 is a wasteful number, since it uses less digits than its factorization.

542725344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269232 (or 269221 counting only the distinct ones).

The product of its digits is 134400, while the sum is 36.

The square root of 542725344 is about 23296.4663414862. The cubic root of 542725344 is about 815.6929352142.

The spelling of 542725344 in words is "five hundred forty-two million, seven hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 269209 538418 807627 1076836 1615254 1884463 2153672 2422881 3230508 3768926 4307344 4845762 5653389 6461016 7537852 8614688 9691524 11306778 12922032 15075704 16960167 19383048 22613556 25844064 30151408 33920334 38766096 45227112 60302816 67840668 77532192 90454224 135681336 180908448 271362672 542725344