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542199504 = 2437211191103
BaseRepresentation
bin100000010100010…
…100111011010000
31101210020120220010
4200110110323100
52102300341004
6125445114520
716302422400
oct4024247320
91353216803
10542199504
1125906a570
121316b8a40
138843bb12
145201c800
1532901a89
hex20514ed0

542199504 has 240 divisors, whose sum is σ = 1872737280. Its totient is φ = 133297920.

The previous prime is 542199503. The next prime is 542199509. The reversal of 542199504 is 405991245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542199503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491017 + ... + 492119.

It is an arithmetic number, because the mean of its divisors is an integer number (7803072).

Almost surely, 2542199504 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 542199504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936368640).

542199504 is an abundant number, since it is smaller than the sum of its proper divisors (1330537776).

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

542199504 is a wasteful number, since it uses less digits than its factorization.

542199504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 542199504 is about 23285.1777747133. The cubic root of 542199504 is about 815.4294117588.

The spelling of 542199504 in words is "five hundred forty-two million, one hundred ninety-nine thousand, five hundred four".