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1938089088 = 2732131271019
BaseRepresentation
bin111001110000100…
…1110010010000000
312000001212010102100
41303201032102000
512432122322323
6520151550400
766012325335
oct16341162200
95001763370
101938089088
11905001021
1246108b400
1324b6ab6a0
1414558098c
15b5233943
hex7384e480

1938089088 has 192 divisors, whose sum is σ = 6059289600. Its totient is φ = 591058944.

The previous prime is 1938089057. The next prime is 1938089099. The reversal of 1938089088 is 8809808391.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1901443 + ... + 1902461.

It is an arithmetic number, because the mean of its divisors is an integer number (31558800).

Almost surely, 21938089088 is an apocalyptic number.

1938089088 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 1938089088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029644800).

1938089088 is an abundant number, since it is smaller than the sum of its proper divisors (4121200512).

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

1938089088 is a wasteful number, since it uses less digits than its factorization.

1938089088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The square root of 1938089088 is about 44023.7332356083. The cubic root of 1938089088 is about 1246.7840721150.

The spelling of 1938089088 in words is "one billion, nine hundred thirty-eight million, eighty-nine thousand, eighty-eight".