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542716032 = 2738091747
BaseRepresentation
bin100000010110010…
…011000010000000
31101211012211102210
4200112103002000
52102413403112
6125504142120
716310003325
oct4026230200
91354184383
10542716032
11259392651
12131907940
138858cc61
1452114b4c
15329a4b3c
hex20593080

542716032 has 64 divisors (see below), whose sum is σ = 1444197600. Its totient is φ = 180578304.

The previous prime is 542715991. The next prime is 542716081. The reversal of 542716032 is 230617245.

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

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, 309783 + ... + 311529.

Almost surely, 2542716032 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 542716032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722098800).

542716032 is an abundant number, since it is smaller than the sum of its proper divisors (901481568).

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

542716032 is a wasteful number, since it uses less digits than its factorization.

542716032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 542716032 is about 23296.2664819923. The cubic root of 542716032 is about 815.6882700086.

The spelling of 542716032 in words is "five hundred forty-two million, seven hundred sixteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 809 1618 1747 2427 3236 3494 4854 5241 6472 6988 9708 10482 12944 13976 19416 20964 25888 27952 38832 41928 51776 55904 77664 83856 103552 111808 155328 167712 223616 310656 335424 670848 1413323 2826646 4239969 5653292 8479938 11306584 16959876 22613168 33919752 45226336 67839504 90452672 135679008 180905344 271358016 542716032