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1081408608 = 253272953349
BaseRepresentation
bin100000001110100…
…1111110001100000
32210100212020201200
41000131033301200
54203320033413
6255150201200
735540551530
oct10035176140
92710766650
101081408608
11505477325
122621b3200
13143071767
14a389d4c0
1564e12573
hex4074fc60

1081408608 has 288 divisors, whose sum is σ = 3714984000. Its totient is φ = 291852288.

The previous prime is 1081408589. The next prime is 1081408613. The reversal of 1081408608 is 8068041801.

1081408608 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 40 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3098418 + ... + 3098766.

It is an arithmetic number, because the mean of its divisors is an integer number (12899250).

Almost surely, 21081408608 is an apocalyptic number.

1081408608 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 1081408608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857492000).

1081408608 is an abundant number, since it is smaller than the sum of its proper divisors (2633575392).

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

1081408608 is a wasteful number, since it uses less digits than its factorization.

1081408608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1081408608 is about 32884.7777550647. Note that the first 4 decimals coincide. The cubic root of 1081408608 is about 1026.4314271480.

The spelling of 1081408608 in words is "one billion, eighty-one million, four hundred eight thousand, six hundred eight".