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1988097552 = 2432723292957
BaseRepresentation
bin111011001111111…
…1111011000010000
312010112221211010200
41312133333120100
513032423110202
6525135455200
7100160356530
oct16637773020
95115854120
101988097552
11930258131
12475987500
13258b6a8ac
1414c07b4c0
15b9810e1c
hex767ff610

1988097552 has 240 divisors, whose sum is σ = 6866346240. Its totient is φ = 524418048.

The previous prime is 1988097541. The next prime is 1988097563. The reversal of 1988097552 is 2557908891.

1988097552 is a `hidden beast` number, since 1 + 9 + 8 + 80 + 9 + 7 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (1988097541) and next prime (1988097563).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670858 + ... + 673814.

It is an arithmetic number, because the mean of its divisors is an integer number (28609776).

Almost surely, 21988097552 is an apocalyptic number.

1988097552 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 1988097552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433173120).

1988097552 is an abundant number, since it is smaller than the sum of its proper divisors (4878248688).

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

1988097552 is a wasteful number, since it uses less digits than its factorization.

1988097552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The square root of 1988097552 is about 44588.0875571043. The cubic root of 1988097552 is about 1257.4167178949.

The spelling of 1988097552 in words is "one billion, nine hundred eighty-eight million, ninety-seven thousand, five hundred fifty-two".