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4138288 = 247113359
BaseRepresentation
bin1111110010010100110000
321210020122221
433302110300
52024411123
6224410424
750113660
oct17622460
97706587
104138288
112377180
121476a14
13b1b7bb
1479a1a0
1556b25d
hex3f2530

4138288 has 40 divisors (see below), whose sum is σ = 9999360. Its totient is φ = 1611840.

The previous prime is 4138279. The next prime is 4138289. The reversal of 4138288 is 8828314.

4138288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4138289) 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 7 ways as a sum of consecutive naturals, for example, 448 + ... + 2911.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 24138288 is an apocalyptic number.

It is an amenable number.

4138288 is an abundant number, since it is smaller than the sum of its proper divisors (5861072).

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

4138288 is a wasteful number, since it uses less digits than its factorization.

4138288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385 (or 3379 counting only the distinct ones).

The product of its digits is 12288, while the sum is 34.

The square root of 4138288 is about 2034.2782503876. The cubic root of 4138288 is about 160.5487408701.

The spelling of 4138288 in words is "four million, one hundred thirty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 3359 6718 13436 23513 26872 36949 47026 53744 73898 94052 147796 188104 258643 295592 376208 517286 591184 1034572 2069144 4138288