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992189088 = 253411172389
BaseRepresentation
bin111011001000111…
…001101010100000
32120010222102120000
4323020321222200
54013000022323
6242242020000
733405316362
oct7310715240
92503872500
10992189088
1146a079390
12238347600
1312a733b47
1495ab6d32
155c18be43
hex3b239aa0

992189088 has 480 divisors, whose sum is σ = 3556586880. Its totient is φ = 267632640.

The previous prime is 992189059. The next prime is 992189137. The reversal of 992189088 is 880981299.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11148148 + ... + 11148236.

It is an arithmetic number, because the mean of its divisors is an integer number (7409556).

Almost surely, 2992189088 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 992189088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778293440).

992189088 is an abundant number, since it is smaller than the sum of its proper divisors (2564397792).

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

992189088 is a wasteful number, since it uses less digits than its factorization.

992189088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The square root of 992189088 is about 31499.0331280184. The cubic root of 992189088 is about 997.3895541688.

The spelling of 992189088 in words is "nine hundred ninety-two million, one hundred eighty-nine thousand, eighty-eight".