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5746752 = 263211907
BaseRepresentation
bin10101111011000001000000
3101210222001200
4111323001000
52432344002
6323101200
766563244
oct25730100
911728050
105746752
113275690
121b11800
13126295b
14a98424
15787b1c
hex57b040

5746752 has 84 divisors (see below), whose sum is σ = 17989296. Its totient is φ = 1739520.

The previous prime is 5746703. The next prime is 5746753. The reversal of 5746752 is 2576475.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 53 + 7 + 47 + 68 + 73 + 59 + 221 .

It is not an unprimeable number, because it can be changed into a prime (5746753) 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, 5883 + ... + 6789.

Almost surely, 25746752 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 5746752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8994648).

5746752 is an abundant number, since it is smaller than the sum of its proper divisors (12242544).

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

5746752 is a wasteful number, since it uses less digits than its factorization.

5746752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 923 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 5746752 is about 2397.2384111723. The cubic root of 5746752 is about 179.1186546191.

The spelling of 5746752 in words is "five million, seven hundred forty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 907 1056 1584 1814 2112 2721 3168 3628 5442 6336 7256 8163 9977 10884 14512 16326 19954 21768 29024 29931 32652 39908 43536 58048 59862 65304 79816 87072 89793 119724 130608 159632 174144 179586 239448 261216 319264 359172 478896 522432 638528 718344 957792 1436688 1915584 2873376 5746752