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38648272 = 2413214293
BaseRepresentation
bin1001001101101…
…1100111010000
32200201112110111
42103123213100
534343221042
63500211104
7646335115
oct223334720
980645414
1038648272
111a8a8023
1210b39a94
138012500
1451c090c
1535d6517
hex24db9d0

38648272 has 30 divisors (see below), whose sum is σ = 81089862. Its totient is φ = 17836416.

The previous prime is 38648249. The next prime is 38648273. The reversal of 38648272 is 27284683.

38648272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4822416 + 33825856 = 2196^2 + 5816^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38648273) 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 5 ways as a sum of consecutive naturals, for example, 4443 + ... + 9850.

Almost surely, 238648272 is an apocalyptic number.

It is an amenable number.

38648272 is an abundant number, since it is smaller than the sum of its proper divisors (42441590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38648272 is a wasteful number, since it uses less digits than its factorization.

38648272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14327 (or 14308 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The square root of 38648272 is about 6216.7734396550. The cubic root of 38648272 is about 338.0985905689.

The spelling of 38648272 in words is "thirty-eight million, six hundred forty-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 14293 28586 57172 114344 185809 228688 371618 743236 1486472 2415517 2972944 4831034 9662068 19324136 38648272