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1238681808 = 2437713389
BaseRepresentation
bin100100111010100…
…1100100011010000
310012022210120000000
41021311030203100
510014100304213
6322525130000
742460423140
oct11165144320
93168716000
101238681808
11586226a81
122a69b9900
13169819020
14ba71c920
1573b2bc73
hex49d4c8d0

1238681808 has 320 divisors, whose sum is σ = 4441382400. Its totient is φ = 325845504.

The previous prime is 1238681789. The next prime is 1238681809. The reversal of 1238681808 is 8081868321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1238681809) 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 63 ways as a sum of consecutive naturals, for example, 3184078 + ... + 3184466.

It is an arithmetic number, because the mean of its divisors is an integer number (13879320).

Almost surely, 21238681808 is an apocalyptic number.

1238681808 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 1238681808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220691200).

1238681808 is an abundant number, since it is smaller than the sum of its proper divisors (3202700592).

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

1238681808 is an equidigital number, since it uses as much as digits as its factorization.

1238681808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 1238681808 is about 35194.9116776843. The cubic root of 1238681808 is about 1073.9562417801.

The spelling of 1238681808 in words is "one billion, two hundred thirty-eight million, six hundred eighty-one thousand, eight hundred eight".