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38763 = 325973
BaseRepresentation
bin1001011101101011
31222011200
421131223
52220023
6455243
7221004
oct113553
958150
1038763
112713a
121a523
131484a
14101ab
15b743
hex976b

38763 has 12 divisors (see below), whose sum is σ = 57720. Its totient is φ = 25056.

The previous prime is 38749. The next prime is 38767. The reversal of 38763 is 36783.

It is a happy number.

It is not a de Polignac number, because 38763 - 24 = 38747 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (38767) 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, 495 + ... + 567.

It is an arithmetic number, because the mean of its divisors is an integer number (4810).

238763 is an apocalyptic number.

38763 is a deficient number, since it is larger than the sum of its proper divisors (18957).

38763 is a wasteful number, since it uses less digits than its factorization.

38763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 135 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 38763 is about 196.8832141144. The cubic root of 38763 is about 33.8432810393.

It can be divided in two parts, 3876 and 3, that multiplied together give a triangular number (11628 = T152).

The spelling of 38763 in words is "thirty-eight thousand, seven hundred sixty-three".

Divisors: 1 3 9 59 73 177 219 531 657 4307 12921 38763