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4131536 = 2423103109
BaseRepresentation
bin1111110000101011010000
321202220101212
433300223100
52024202121
6224315252
750055203
oct17605320
97686355
104131536
1123720a2
121472b28
13b186c6
1479793a
1556925b
hex3f0ad0

4131536 has 40 divisors (see below), whose sum is σ = 8511360. Its totient is φ = 1938816.

The previous prime is 4131487. The next prime is 4131539. The reversal of 4131536 is 6351314.

It is a happy number.

4131536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131539) 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, 37850 + ... + 37958.

It is an arithmetic number, because the mean of its divisors is an integer number (212784).

Almost surely, 24131536 is an apocalyptic number.

4131536 is a gapful number since it is divisible by the number (46) 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 4131536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255680).

4131536 is an abundant number, since it is smaller than the sum of its proper divisors (4379824).

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

4131536 is a wasteful number, since it uses less digits than its factorization.

4131536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 237 counting only the distinct ones).

The product of its digits is 1080, while the sum is 23.

The square root of 4131536 is about 2032.6180162539. The cubic root of 4131536 is about 160.4613766271.

The spelling of 4131536 in words is "four million, one hundred thirty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 23 46 92 103 109 184 206 218 368 412 436 824 872 1648 1744 2369 2507 4738 5014 9476 10028 11227 18952 20056 22454 37904 40112 44908 89816 179632 258221 516442 1032884 2065768 4131536