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542649096 = 2332112412843
BaseRepresentation
bin100000010110000…
…010101100001000
31101211002102121200
4200112002230020
52102404232341
6125502504200
716306304223
oct4026025410
91354072550
10542649096
11259347330
12131895060
1388568652
14520d85ba
153298edb6
hex20582b08

542649096 has 96 divisors (see below), whose sum is σ = 1610500320. Its totient is φ = 163699200.

The previous prime is 542649071. The next prime is 542649119. The reversal of 542649096 is 690946245.

542649096 is a `hidden beast` number, since 54 + 26 + 490 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189451 + ... + 192293.

It is an arithmetic number, because the mean of its divisors is an integer number (16776045).

Almost surely, 2542649096 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 542649096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805250160).

542649096 is an abundant number, since it is smaller than the sum of its proper divisors (1067851224).

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

542649096 is a wasteful number, since it uses less digits than its factorization.

542649096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 542649096 is about 23294.8298126430. The cubic root of 542649096 is about 815.6547342663.

The spelling of 542649096 in words is "five hundred forty-two million, six hundred forty-nine thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 241 264 396 482 723 792 964 1446 1928 2169 2651 2843 2892 4338 5302 5686 5784 7953 8529 8676 10604 11372 15906 17058 17352 21208 22744 23859 25587 31273 31812 34116 47718 51174 62546 63624 68232 93819 95436 102348 125092 187638 190872 204696 250184 281457 375276 562914 685163 750552 1125828 1370326 2055489 2251656 2740652 4110978 5481304 6166467 7536793 8221956 12332934 15073586 16443912 22610379 24665868 30147172 45220758 49331736 60294344 67831137 90441516 135662274 180883032 271324548 542649096