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542199168 = 2732771947
BaseRepresentation
bin100000010100010…
…100110110000000
31101210020120102200
4200110110312000
52102300333133
6125445113200
716302421410
oct4024246600
91353216380
10542199168
1125906a295
121316b8800
138843b914
145201c640
1532901913
hex20514d80

542199168 has 192 divisors, whose sum is σ = 1810149120. Its totient is φ = 152570880.

The previous prime is 542199103. The next prime is 542199187. The reversal of 542199168 is 861991245.

542199168 is a `hidden beast` number, since 542 + 1 + 99 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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, 572071 + ... + 573017.

It is an arithmetic number, because the mean of its divisors is an integer number (9427860).

Almost surely, 2542199168 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 542199168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905074560).

542199168 is an abundant number, since it is smaller than the sum of its proper divisors (1267949952).

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

542199168 is a wasteful number, since it uses less digits than its factorization.

542199168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1030 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 542199168 is about 23285.1705598220. The cubic root of 542199168 is about 815.4292433187.

The spelling of 542199168 in words is "five hundred forty-two million, one hundred ninety-nine thousand, one hundred sixty-eight".