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38052531 = 3311314133
BaseRepresentation
bin1001000100101…
…0001010110011
32122121021021000
42101022022303
534220140111
63435333043
7641304216
oct221121263
978537230
1038052531
111a530480
12108b1183
137b642ba
1450a777d
153519c56
hex244a2b3

38052531 has 32 divisors (see below), whose sum is σ = 63498240. Its totient is φ = 22312800.

The previous prime is 38052523. The next prime is 38052533. The reversal of 38052531 is 13525083.

38052531 is a `hidden beast` number, since 3 + 80 + 52 + 531 = 666.

It is not a de Polignac number, because 38052531 - 23 = 38052523 is a prime.

It is a super-2 number, since 2×380525312 = 2895990231011922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 38052495 and 38052504.

It is not an unprimeable number, because it can be changed into a prime (38052533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7141 + ... + 11273.

It is an arithmetic number, because the mean of its divisors is an integer number (1984320).

Almost surely, 238052531 is an apocalyptic number.

38052531 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

38052531 is a deficient number, since it is larger than the sum of its proper divisors (25445709).

38052531 is a wasteful number, since it uses less digits than its factorization.

38052531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 38052531 is about 6168.6733581865. The cubic root of 38052531 is about 336.3523885851.

It can be divided in two parts, 38052 and 531, that added together give a palindrome (38583).

The spelling of 38052531 in words is "thirty-eight million, fifty-two thousand, five hundred thirty-one".

Divisors: 1 3 9 11 27 31 33 93 99 279 297 341 837 1023 3069 4133 9207 12399 37197 45463 111591 128123 136389 384369 409167 1153107 1227501 1409353 3459321 4228059 12684177 38052531