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4892452992 = 27327738311
BaseRepresentation
bin1001000111001110…
…01110100010000000
3110121222000100210200
410203213032202000
540004431443432
62125250125200
7232145110230
oct44347164200
913558010720
104892452992
112090731389
12b46580800
135cc7a4bcb
14345aa7cc0
151d97b0a7c
hex1239ce880

4892452992 has 192 divisors, whose sum is σ = 16312133760. Its totient is φ = 1378529280.

The previous prime is 4892452931. The next prime is 4892452993. The reversal of 4892452992 is 2992542984.

It is a happy number.

4892452992 is a `hidden beast` number, since 4 + 8 + 9 + 24 + 529 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4892452993) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 584517 + ... + 592827.

It is an arithmetic number, because the mean of its divisors is an integer number (84959030).

Almost surely, 24892452992 is an apocalyptic number.

4892452992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4892452992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8156066880).

4892452992 is an abundant number, since it is smaller than the sum of its proper divisors (11419680768).

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

4892452992 is a wasteful number, since it uses less digits than its factorization.

4892452992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8411 (or 8396 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 4892452992 is about 69946.0720269552. The cubic root of 4892452992 is about 1697.6267914140.

The spelling of 4892452992 in words is "four billion, eight hundred ninety-two million, four hundred fifty-two thousand, nine hundred ninety-two".