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1089487872 = 21032112977
BaseRepresentation
bin100000011110000…
…0100010000000000
32210221001201101200
41000330010100000
54212402102442
6300035301200
735666331324
oct10074042000
92727051350
101089487872
11509a95400
12264a4a800
1314493cca5
14a49a3984
15659ab34c
hex40f04400

1089487872 has 198 divisors, whose sum is σ = 3461399214. Its totient is φ = 329809920.

The previous prime is 1089487837. The next prime is 1089487879. The reversal of 1089487872 is 2787849801.

It is a happy number.

1089487872 is a `hidden beast` number, since 1 + 0 + 89 + 487 + 87 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1071645696 + 17842176 = 32736^2 + 4224^2 .

It is a tau number, because it is divible by the number of its divisors (198).

It is not an unprimeable number, because it can be changed into a prime (1089487879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1114648 + ... + 1115624.

Almost surely, 21089487872 is an apocalyptic number.

1089487872 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 1089487872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730699607).

1089487872 is an abundant number, since it is smaller than the sum of its proper divisors (2371911342).

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

1089487872 is a wasteful number, since it uses less digits than its factorization.

1089487872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The square root of 1089487872 is about 33007.3911722814. The cubic root of 1089487872 is about 1028.9812631346.

The spelling of 1089487872 in words is "one billion, eighty-nine million, four hundred eighty-seven thousand, eight hundred seventy-two".