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38033631 = 35281557
BaseRepresentation
bin1001000100010…
…1100011011111
32122120022100000
42101011203133
534214034011
63435105343
7641165136
oct221054337
978508300
1038033631
111a518259
12108a2253
137b5880c
1450a091d
153514356
hex24458df

38033631 has 24 divisors (see below), whose sum is σ = 57277584. Its totient is φ = 25220160.

The previous prime is 38033627. The next prime is 38033659. The reversal of 38033631 is 13633083.

38033631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38033631 - 22 = 38033627 is a prime.

It is a super-2 number, since 2×380336312 = 2893114174088322, which contains 22 as substring.

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

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 38033595 and 38033604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38033431) by changing a digit.

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, 68005 + ... + 68561.

It is an arithmetic number, because the mean of its divisors is an integer number (2386566).

Almost surely, 238033631 is an apocalyptic number.

38033631 is a deficient number, since it is larger than the sum of its proper divisors (19243953).

38033631 is an equidigital number, since it uses as much as digits as its factorization.

38033631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 38033631 is about 6167.1412339916. The cubic root of 38033631 is about 336.2966926585.

The spelling of 38033631 in words is "thirty-eight million, thirty-three thousand, six hundred thirty-one".

Divisors: 1 3 9 27 81 243 281 557 843 1671 2529 5013 7587 15039 22761 45117 68283 135351 156517 469551 1408653 4225959 12677877 38033631