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542968668 = 2232117191907
BaseRepresentation
bin100000010111010…
…000101101011100
31101211200122222200
4200113100231130
52102444444133
6125513411500
716312105014
oct4027205534
91354618880
10542968668
11259545440
12131a09b90
138864ac48
145217cc44
1532a04913
hex205d0b5c

542968668 has 72 divisors (see below), whose sum is σ = 1500145920. Its totient is φ = 164220960.

The previous prime is 542968649. The next prime is 542968691. The reversal of 542968668 is 866869245.

It is a happy number.

542968668 is a `hidden beast` number, since 542 + 96 + 8 + 6 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283771 + ... + 285677.

It is an arithmetic number, because the mean of its divisors is an integer number (20835360).

Almost surely, 2542968668 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 542968668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750072960).

542968668 is an abundant number, since it is smaller than the sum of its proper divisors (957177252).

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

542968668 is a wasteful number, since it uses less digits than its factorization.

542968668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2642 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 542968668 is about 23301.6880933550. The cubic root of 542968668 is about 815.8148188494.

The spelling of 542968668 in words is "five hundred forty-two million, nine hundred sixty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 719 1438 1907 2157 2876 3814 4314 5721 6471 7628 7909 8628 11442 12942 15818 17163 20977 22884 23727 25884 31636 34326 41954 47454 62931 68652 71181 83908 94908 125862 142362 188793 251724 284724 377586 755172 1371133 2742266 4113399 5484532 8226798 12340197 15082463 16453596 24680394 30164926 45247389 49360788 60329852 90494778 135742167 180989556 271484334 542968668