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4040512 = 26729311
BaseRepresentation
bin1111011010011101000000
321121021112121
433122131000
52013244022
6222334024
746225630
oct17323500
97537477
104040512
11230a773
12142a314
13ab6148
147726c0
1554c2c7
hex3da740

4040512 has 56 divisors (see below), whose sum is σ = 9509760. Its totient is φ = 1666560.

The previous prime is 4040507. The next prime is 4040513. The reversal of 4040512 is 2150404.

4040512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040513) 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, 12837 + ... + 13147.

Almost surely, 24040512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4754880).

4040512 is an abundant number, since it is smaller than the sum of its proper divisors (5469248).

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

4040512 is a wasteful number, since it uses less digits than its factorization.

4040512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 4040512 is about 2010.1024849495. The cubic root of 4040512 is about 159.2742126830.

Adding to 4040512 its reverse (2150404), we get a palindrome (6190916).

The spelling of 4040512 in words is "four million, forty thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 311 406 448 464 622 812 928 1244 1624 1856 2177 2488 3248 4354 4976 6496 8708 9019 9952 12992 17416 18038 19904 34832 36076 63133 69664 72152 126266 139328 144304 252532 288608 505064 577216 1010128 2020256 4040512