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542500992 = 273211311381
BaseRepresentation
bin100000010101011…
…110100010000000
31101210210220110100
4200111132202000
52102340012432
6125455402400
716305116355
oct4025364200
91353726410
10542500992
11259256030
12131823400
1388516107
145209a62c
153296107c
hex2055e880

542500992 has 192 divisors, whose sum is σ = 1759230720. Its totient is φ = 158976000.

The previous prime is 542500967. The next prime is 542501017. The reversal of 542500992 is 299005245.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (542500967) and next prime (542501017).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 392142 + ... + 393522.

It is an arithmetic number, because the mean of its divisors is an integer number (9162660).

Almost surely, 2542500992 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 542500992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879615360).

542500992 is an abundant number, since it is smaller than the sum of its proper divisors (1216729728).

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

542500992 is a wasteful number, since it uses less digits than its factorization.

542500992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 542500992 is about 23291.6506928985. The cubic root of 542500992 is about 815.5805225757.

The spelling of 542500992 in words is "five hundred forty-two million, five hundred thousand, nine hundred ninety-two".