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1938087252 = 2232531015769
BaseRepresentation
bin111001110000100…
…1101110101010100
312000001212000220100
41303201031311110
512432122243002
6520151534100
766012320103
oct16341156524
95001760810
101938087252
11904aaa702
1246108a330
1324b6aa8ba
1414558003a
15b523311c
hex7384dd54

1938087252 has 36 divisors (see below), whose sum is σ = 4991493780. Its totient is φ = 633839232.

The previous prime is 1938087251. The next prime is 1938087287. The reversal of 1938087252 is 2527808391.

It is a happy number.

1938087252 is a `hidden beast` number, since 19 + 380 + 8 + 7 + 252 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 688747536 + 1249339716 = 26244^2 + 35346^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 1938087198 and 1938087207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1938087251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 505977 + ... + 509792.

It is an arithmetic number, because the mean of its divisors is an integer number (138652605).

Almost surely, 21938087252 is an apocalyptic number.

1938087252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1938087252 is an abundant number, since it is smaller than the sum of its proper divisors (3053406528).

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

1938087252 is a wasteful number, since it uses less digits than its factorization.

1938087252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015832 (or 1015827 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1938087252 is about 44023.7123832146. The cubic root of 1938087252 is about 1246.7836784117.

The spelling of 1938087252 in words is "one billion, nine hundred thirty-eight million, eighty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 1015769 2031538 3047307 4063076 6094614 9141921 12189228 18283842 36567684 53835757 107671514 161507271 215343028 323014542 484521813 646029084 969043626 1938087252