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27388648 = 2372109641
BaseRepresentation
bin110100001111…
…0101011101000
31220112111011101
41220132223220
524002414043
62415011144
7451541200
oct150365350
956474141
1027388648
1114507551
129209ab4
13589c501
1438cd400
15261024d
hex1a1eae8

27388648 has 48 divisors (see below), whose sum is σ = 60380100. Its totient is φ = 11612160.

The previous prime is 27388631. The next prime is 27388657. The reversal of 27388648 is 84688372.

It can be written as a sum of positive squares in 2 ways, for example, as 24423364 + 2965284 = 4942^2 + 1722^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27388598 and 27388607.

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 11 ways as a sum of consecutive naturals, for example, 42408 + ... + 43048.

Almost surely, 227388648 is an apocalyptic number.

27388648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27388648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30190050).

27388648 is an abundant number, since it is smaller than the sum of its proper divisors (32991452).

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

27388648 is a wasteful number, since it uses less digits than its factorization.

27388648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 759 counting only the distinct ones).

The product of its digits is 516096, while the sum is 46.

The square root of 27388648 is about 5233.4164749234. The cubic root of 27388648 is about 301.4325851471.

The spelling of 27388648 in words is "twenty-seven million, three hundred eighty-eight thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 109 196 218 392 436 641 763 872 1282 1526 2564 3052 4487 5128 5341 6104 8974 10682 17948 21364 31409 35896 42728 62818 69869 125636 139738 251272 279476 489083 558952 978166 1956332 3423581 3912664 6847162 13694324 27388648