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4057568 = 252337149
BaseRepresentation
bin1111011110100111100000
321122010221022
433132213200
52014320233
6222545012
746326434
oct17364740
97563838
104057568
112321569
121438168
13ac0b38
147789c4
15552398
hex3de9e0

4057568 has 48 divisors (see below), whose sum is σ = 8618400. Its totient is φ = 1875456.

The previous prime is 4057567. The next prime is 4057589. The reversal of 4057568 is 8657504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4057561) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 27158 + ... + 27306.

It is an arithmetic number, because the mean of its divisors is an integer number (179550).

Almost surely, 24057568 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 4057568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309200).

4057568 is an abundant number, since it is smaller than the sum of its proper divisors (4560832).

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

4057568 is a wasteful number, since it uses less digits than its factorization.

4057568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 4057568 is about 2014.3405868919. The cubic root of 4057568 is about 159.4980100183.

The spelling of 4057568 in words is "four million, fifty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 37 46 74 92 148 149 184 296 298 368 592 596 736 851 1184 1192 1702 2384 3404 3427 4768 5513 6808 6854 11026 13616 13708 22052 27232 27416 44104 54832 88208 109664 126799 176416 253598 507196 1014392 2028784 4057568