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4137328 = 241319891
BaseRepresentation
bin1111110010000101110000
321210012100101
433302011300
52024343303
6224402144
750111116
oct17620560
97705311
104137328
112376488
121476354
13b1b230
14799ab6
1556ad1d
hex3f2170

4137328 has 20 divisors (see below), whose sum is σ = 8633128. Its totient is φ = 1909440.

The previous prime is 4137323. The next prime is 4137337. The reversal of 4137328 is 8237314.

4137328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4137296 and 4137305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4137323) 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 3 ways as a sum of consecutive naturals, for example, 9738 + ... + 10153.

Almost surely, 24137328 is an apocalyptic number.

It is an amenable number.

4137328 is an abundant number, since it is smaller than the sum of its proper divisors (4495800).

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

4137328 is a wasteful number, since it uses less digits than its factorization.

4137328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19912 (or 19906 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 4137328 is about 2034.0422807798. The cubic root of 4137328 is about 160.5363252117.

It can be divided in two parts, 4137 and 328, that added together give a triangular number (4465 = T94).

The spelling of 4137328 in words is "four million, one hundred thirty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 19891 39782 79564 159128 258583 318256 517166 1034332 2068664 4137328