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2097528048 = 243471121019
BaseRepresentation
bin111110100000101…
…1011110011110000
312102011212110120000
41331001123303300
513243431344143
6544045150000
7102656460060
oct17501336360
95364773500
102097528048
11986aaa960
124a655b300
13275733975
1415c8053a0
15c4229bd3
hex7d05bcf0

2097528048 has 200 divisors, whose sum is σ = 7569217920. Its totient is φ = 544786560.

The previous prime is 2097528031. The next prime is 2097528049. The reversal of 2097528048 is 8408257902.

It is a junction number, because it is equal to n+sod(n) for n = 2097527994 and 2097528012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097528049) 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 39 ways as a sum of consecutive naturals, for example, 89283 + ... + 110301.

Almost surely, 22097528048 is an apocalyptic number.

2097528048 is a gapful number since it is divisible by the number (28) 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 2097528048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784608960).

2097528048 is an abundant number, since it is smaller than the sum of its proper divisors (5471689872).

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

2097528048 is a wasteful number, since it uses less digits than its factorization.

2097528048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21057 (or 21042 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2097528048 is about 45798.7778002863. Note that the first 3 decimals coincide. The cubic root of 2097528048 is about 1280.0765025890.

It can be divided in two parts, 209 and 7528048, that added together give a palindrome (7528257).

The spelling of 2097528048 in words is "two billion, ninety-seven million, five hundred twenty-eight thousand, forty-eight".