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138827763 = 3417412459
BaseRepresentation
bin10000100011001…
…01011111110011
3100200020011220000
420101211133303
5241014442023
621435321043
73304005444
oct1021453763
9320204800
10138827763
1171401398
123a5b0183
13229b9909
141461b2cb
15c2c4243
hex84657f3

138827763 has 40 divisors (see below), whose sum is σ = 225030960. Its totient is φ = 84948480.

The previous prime is 138827749. The next prime is 138827789. The reversal of 138827763 is 367728831.

It is not a de Polignac number, because 138827763 - 216 = 138762227 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (138827713) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55228 + ... + 57686.

It is an arithmetic number, because the mean of its divisors is an integer number (5625774).

Almost surely, 2138827763 is an apocalyptic number.

138827763 is a deficient number, since it is larger than the sum of its proper divisors (86203197).

138827763 is a wasteful number, since it uses less digits than its factorization.

138827763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2520 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 138827763 is about 11782.5193825429. The cubic root of 138827763 is about 517.7961002380.

The spelling of 138827763 in words is "one hundred thirty-eight million, eight hundred twenty-seven thousand, seven hundred sixty-three".

Divisors: 1 3 9 17 27 41 51 81 123 153 369 459 697 1107 1377 2091 2459 3321 6273 7377 18819 22131 41803 56457 66393 100819 125409 199179 302457 376227 907371 1128681 1713923 2722113 3386043 5141769 8166339 15425307 46275921 138827763