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5812128 = 25337312
BaseRepresentation
bin10110001010111110100000
3101221021202000
4112022332200
52441442003
6324324000
7100254660
oct26127640
911837660
105812128
11330a813
121b43600
13128663a
14ab41a0
1579c1a3
hex58afa0

5812128 has 144 divisors (see below), whose sum is σ = 20018880. Its totient is φ = 1607040.

The previous prime is 5812127. The next prime is 5812129. The reversal of 5812128 is 8212185.

It is an interprime number because it is at equal distance from previous prime (5812127) and next prime (5812129).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5812127) 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 23 ways as a sum of consecutive naturals, for example, 187473 + ... + 187503.

It is an arithmetic number, because the mean of its divisors is an integer number (139020).

Almost surely, 25812128 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 5812128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10009440).

5812128 is an abundant number, since it is smaller than the sum of its proper divisors (14206752).

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

5812128 is a wasteful number, since it uses less digits than its factorization.

5812128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 43 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 5812128 is about 2410.8355398077. The cubic root of 5812128 is about 179.7953229065.

The spelling of 5812128 in words is "five million, eight hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 42 48 54 56 62 63 72 84 93 96 108 112 124 126 144 168 186 189 216 217 224 248 252 279 288 336 372 378 432 434 496 504 558 651 672 744 756 837 864 868 961 992 1008 1116 1302 1488 1512 1674 1736 1922 1953 2016 2232 2604 2883 2976 3024 3348 3472 3844 3906 4464 5208 5766 5859 6048 6696 6727 6944 7688 7812 8649 8928 10416 11532 11718 13392 13454 15376 15624 17298 20181 20832 23064 23436 25947 26784 26908 30752 31248 34596 40362 46128 46872 51894 53816 60543 62496 69192 80724 92256 93744 103788 107632 121086 138384 161448 181629 187488 207576 215264 242172 276768 322896 363258 415152 484344 645792 726516 830304 968688 1453032 1937376 2906064 5812128