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5681312 = 257131951
BaseRepresentation
bin10101101011000010100000
3101200122021222
4111223002200
52423300222
6321434212
766201410
oct25530240
911618258
105681312
1132304aa
121a9b968
13123bc30
14a7c640
15773542
hex56b0a0

5681312 has 48 divisors (see below), whose sum is σ = 13773312. Its totient is φ = 2246400.

The previous prime is 5681311. The next prime is 5681317. The reversal of 5681312 is 2131865.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (5681311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1937 + ... + 3887.

It is an arithmetic number, because the mean of its divisors is an integer number (286944).

Almost surely, 25681312 is an apocalyptic number.

5681312 is a gapful number since it is divisible by the number (52) 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 5681312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6886656).

5681312 is an abundant number, since it is smaller than the sum of its proper divisors (8092000).

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

5681312 is a wasteful number, since it uses less digits than its factorization.

5681312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1981 (or 1973 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 5681312 is about 2383.5502931551. The cubic root of 5681312 is about 178.4361647208.

The spelling of 5681312 in words is "five million, six hundred eighty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 1951 2912 3902 7804 13657 15608 25363 27314 31216 50726 54628 62432 101452 109256 177541 202904 218512 355082 405808 437024 710164 811616 1420328 2840656 5681312