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542973984 = 2537807997
BaseRepresentation
bin100000010111010…
…010000000100000
31101211200221021120
4200113102000200
52103000131414
6125513452240
716312126350
oct4027220040
91354627246
10542973984
11259549433
12131a11080
13886504a7
1452180b60
1532a062a9
hex205d2020

542973984 has 48 divisors (see below), whose sum is σ = 1628923968. Its totient is φ = 155135232.

The previous prime is 542973983. The next prime is 542974007. The reversal of 542973984 is 489379245.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (542973983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 403327 + ... + 404670.

It is an arithmetic number, because the mean of its divisors is an integer number (33935916).

Almost surely, 2542973984 is an apocalyptic number.

It is an amenable number.

542973984 is an abundant number, since it is smaller than the sum of its proper divisors (1085949984).

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

542973984 is a wasteful number, since it uses less digits than its factorization.

542973984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808017 (or 808009 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 542973984 is about 23301.8021620646. The cubic root of 542973984 is about 815.8174812851.

The spelling of 542973984 in words is "five hundred forty-two million, nine hundred seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 807997 1615994 2423991 3231988 4847982 5655979 6463976 9695964 11311958 12927952 16967937 19391928 22623916 25855904 33935874 38783856 45247832 67871748 77567712 90495664 135743496 180991328 271486992 542973984