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1987089048 = 2332723229257
BaseRepresentation
bin111011001110000…
…1001001010011000
312010111001120201200
41312130021022120
513032143322143
6525102114200
7100145656350
oct16634111230
95114046650
101987089048
1192a72945a
1247557b960
132588a6849
1414bc97b60
15b96b21d3
hex76709298

1987089048 has 288 divisors, whose sum is σ = 6677143200. Its totient is φ = 522289152.

The previous prime is 1987089031. The next prime is 1987089059. The reversal of 1987089048 is 8409807891.

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 junction number, because it is equal to n+sod(n) for n = 1987088985 and 1987089003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7731736 + ... + 7731992.

It is an arithmetic number, because the mean of its divisors is an integer number (23184525).

Almost surely, 21987089048 is an apocalyptic number.

1987089048 is a gapful number since it is divisible by the number (18) 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 1987089048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338571600).

1987089048 is an abundant number, since it is smaller than the sum of its proper divisors (4690054152).

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

1987089048 is a wasteful number, since it uses less digits than its factorization.

1987089048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 1987089048 is about 44576.7770032783. Note that the first 3 decimals coincide. The cubic root of 1987089048 is about 1257.2040649705.

The spelling of 1987089048 in words is "one billion, nine hundred eighty-seven million, eighty-nine thousand, forty-eight".