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5641128 = 2332471667
BaseRepresentation
bin10101100001001110101000
3101121121011200
4111201032220
52421004003
6320524200
765643303
oct25411650
911547150
105641128
113203299
121a80660
13122685c
14a6bb3a
157666a3
hex5613a8

5641128 has 48 divisors (see below), whose sum is σ = 15612480. Its totient is φ = 1839264.

The previous prime is 5641123. The next prime is 5641133. The reversal of 5641128 is 8211465.

5641128 is a `hidden beast` number, since 5 + 641 + 12 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5641123) and next prime (5641133).

It is a super-2 number, since 2×56411282 = 63644650224768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5641121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2551 + ... + 4217.

It is an arithmetic number, because the mean of its divisors is an integer number (325260).

Almost surely, 25641128 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 5641128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7806240).

5641128 is an abundant number, since it is smaller than the sum of its proper divisors (9971352).

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

5641128 is a wasteful number, since it uses less digits than its factorization.

5641128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1719 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 5641128 is about 2375.1058923762. The cubic root of 5641128 is about 178.0144751095.

The spelling of 5641128 in words is "five million, six hundred forty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1667 1692 3334 3384 5001 6668 10002 13336 15003 20004 30006 40008 60012 78349 120024 156698 235047 313396 470094 626792 705141 940188 1410282 1880376 2820564 5641128