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1998249792 = 263721119309
BaseRepresentation
bin111011100011010…
…1101111101000000
312011021001121101120
41313012231331000
513043022443132
6530141232240
7100342562100
oct16706557500
95137047346
101998249792
11935a61710
12479262680
1325acb3836
1414d561200
15ba66902c
hex771adf40

1998249792 has 168 divisors, whose sum is σ = 6709684320. Its totient is φ = 518999040.

The previous prime is 1998249769. The next prime is 1998249797. The reversal of 1998249792 is 2979428991.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1998249797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93834 + ... + 113142.

Almost surely, 21998249792 is an apocalyptic number.

1998249792 is a gapful number since it is divisible by the number (12) 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 1998249792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354842160).

1998249792 is an abundant number, since it is smaller than the sum of its proper divisors (4711434528).

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

1998249792 is a wasteful number, since it uses less digits than its factorization.

1998249792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19349 (or 19332 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 60.

The square root of 1998249792 is about 44701.7873468165. The cubic root of 1998249792 is about 1259.5534219863.

The spelling of 1998249792 in words is "one billion, nine hundred ninety-eight million, two hundred forty-nine thousand, seven hundred ninety-two".