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38285829 = 32293832
BaseRepresentation
bin1001001000001…
…1001000000101
32200001010021200
42102003020011
534300121304
63444333113
7643265331
oct222031005
980033250
1038285829
111a67a78a
12109a4199
137c1654a
1451287c1
153563e39
hex2483205

38285829 has 18 divisors (see below), whose sum is σ = 57358470. Its totient is φ = 24579408.

The previous prime is 38285813. The next prime is 38285831. The reversal of 38285829 is 92858283.

It can be written as a sum of positive squares in only one way, i.e., 33005025 + 5280804 = 5745^2 + 2298^2 .

It is not a de Polignac number, because 38285829 - 24 = 38285813 is a prime.

It is a super-3 number, since 3×382858293 (a number of 24 digits) contains 333 as substring.

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 a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38285879) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 99772 + ... + 100154.

Almost surely, 238285829 is an apocalyptic number.

It is an amenable number.

38285829 is a deficient number, since it is larger than the sum of its proper divisors (19072641).

38285829 is an equidigital number, since it uses as much as digits as its factorization.

38285829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 415 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 38285829 is about 6187.5543633975. The cubic root of 38285829 is about 337.0383746478.

The spelling of 38285829 in words is "thirty-eight million, two hundred eighty-five thousand, eight hundred twenty-nine".

Divisors: 1 3 9 29 87 261 383 1149 3447 11107 33321 99963 146689 440067 1320201 4253981 12761943 38285829