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1081559952 = 243511419
BaseRepresentation
bin100000001110111…
…0100101110010000
32210101010221100000
41000131310232100
54203334404302
6255153330000
735542052004
oct10035645620
92711127300
101081559952
11505570000
12262266900
131430c5605
14a38dc704
1564e4231c
hex40774b90

1081559952 has 300 divisors, whose sum is σ = 3634576400. Its totient is φ = 310495680.

The previous prime is 1081559939. The next prime is 1081559953. The reversal of 1081559952 is 2599551801.

1081559952 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 5 + 599 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1081559898 and 1081559907.

It is not an unprimeable number, because it can be changed into a prime (1081559953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 56924199 + ... + 56924217.

Almost surely, 21081559952 is an apocalyptic number.

1081559952 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 1081559952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817288200).

1081559952 is an abundant number, since it is smaller than the sum of its proper divisors (2553016448).

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

1081559952 is an frugal number, since it uses more digits than its factorization.

1081559952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 45.

The square root of 1081559952 is about 32887.0788000394. The cubic root of 1081559952 is about 1026.4793082143.

The spelling of 1081559952 in words is "one billion, eighty-one million, five hundred fifty-nine thousand, nine hundred fifty-two".