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38673765 = 3251366109
BaseRepresentation
bin1001001110000…
…1110101100101
32200202211102200
42103201311211
534400030030
63500525113
7646502334
oct223416545
980684380
1038673765
111a915199
1210b50799
138020cb0
1451c9d1b
1535ddd60
hex24e1d65

38673765 has 24 divisors (see below), whose sum is σ = 72192120. Its totient is φ = 19039104.

The previous prime is 38673757. The next prime is 38673773. The reversal of 38673765 is 56737683.

38673765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38673757) and next prime (38673773).

It can be written as a sum of positive squares in 4 ways, for example, as 1695204 + 36978561 = 1302^2 + 6081^2 .

It is not a de Polignac number, because 38673765 - 23 = 38673757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 38673765.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 32470 + ... + 33639.

It is an arithmetic number, because the mean of its divisors is an integer number (3008005).

Almost surely, 238673765 is an apocalyptic number.

It is an amenable number.

38673765 is a deficient number, since it is larger than the sum of its proper divisors (33518355).

38673765 is a wasteful number, since it uses less digits than its factorization.

38673765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66133 (or 66130 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 38673765 is about 6218.8234417774. The cubic root of 38673765 is about 338.1729125891.

It can be divided in two parts, 3 and 8673765, that added together give a palindrome (8673768).

The spelling of 38673765 in words is "thirty-eight million, six hundred seventy-three thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 66109 198327 330545 594981 859417 991635 2578251 2974905 4297085 7734753 12891255 38673765