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542303960 = 235114328663
BaseRepresentation
bin100000010100101…
…110011011011000
31101210102220011212
4200110232123120
52102312211320
6125451242252
716303336052
oct4024563330
91353386155
10542303960
11259130aa0
12131749388
1388477523
14520488d2
15329229c5
hex2052e6d8

542303960 has 64 divisors (see below), whose sum is σ = 1362113280. Its totient is φ = 192608640.

The previous prime is 542303941. The next prime is 542303977. The reversal of 542303960 is 69303245.

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 15 ways as a sum of consecutive naturals, for example, 4589 + ... + 33251.

It is an arithmetic number, because the mean of its divisors is an integer number (21283020).

Almost surely, 2542303960 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 542303960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681056640).

542303960 is an abundant number, since it is smaller than the sum of its proper divisors (819809320).

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

542303960 is a wasteful number, since it uses less digits than its factorization.

542303960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28728 (or 28724 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 542303960 is about 23287.4206386195. The cubic root of 542303960 is about 815.4817731895.

The spelling of 542303960 in words is "five hundred forty-two million, three hundred three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 860 946 1720 1892 2365 3784 4730 9460 18920 28663 57326 114652 143315 229304 286630 315293 573260 630586 1146520 1232509 1261172 1576465 2465018 2522344 3152930 4930036 6162545 6305860 9860072 12325090 12611720 13557599 24650180 27115198 49300360 54230396 67787995 108460792 135575990 271151980 542303960