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1081948608 = 263213315979
BaseRepresentation
bin100000001111101…
…0011100111000000
32210101212200110200
41000133103213000
54203434323413
6255205525200
735545261056
oct10037234700
92711780420
101081948608
11505806004
12262413800
131432004a0
14a39a01d6
1564ebc573
hex407d39c0

1081948608 has 336 divisors, whose sum is σ = 3550310400. Its totient is φ = 312698880.

The previous prime is 1081948607. The next prime is 1081948613. The reversal of 1081948608 is 8068491801.

It is a super-2 number, since 2×10819486082 = 2341225580706275328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1081948603) 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 47 ways as a sum of consecutive naturals, for example, 13695513 + ... + 13695591.

It is an arithmetic number, because the mean of its divisors is an integer number (10566400).

Almost surely, 21081948608 is an apocalyptic number.

1081948608 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 1081948608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775155200).

1081948608 is an abundant number, since it is smaller than the sum of its proper divisors (2468361792).

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

1081948608 is a wasteful number, since it uses less digits than its factorization.

1081948608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 1081948608 is about 32892.9872161225. The cubic root of 1081948608 is about 1026.6022477899.

The spelling of 1081948608 in words is "one billion, eighty-one million, nine hundred forty-eight thousand, six hundred eight".