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5753440 = 255711467
BaseRepresentation
bin10101111100101001100000
3101211022020101
4111330221200
52433102230
6323152144
766621610
oct25745140
911738211
105753440
11327a710
121b15654
131265a04
14a9aa40
15789aca
hex57ca60

5753440 has 96 divisors (see below), whose sum is σ = 16982784. Its totient is φ = 1789440.

The previous prime is 5753431. The next prime is 5753441. The reversal of 5753440 is 443575.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 5753399 and 5753408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5753441) 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 15 ways as a sum of consecutive naturals, for example, 12087 + ... + 12553.

It is an arithmetic number, because the mean of its divisors is an integer number (176904).

Almost surely, 25753440 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 5753440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8491392).

5753440 is an abundant number, since it is smaller than the sum of its proper divisors (11229344).

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

5753440 is a wasteful number, since it uses less digits than its factorization.

5753440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 5753440 is about 2398.6329439912. The cubic root of 5753440 is about 179.1881130508.

The spelling of 5753440 in words is "five million, seven hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 467 560 616 770 880 934 1120 1232 1540 1760 1868 2335 2464 3080 3269 3736 4670 5137 6160 6538 7472 9340 10274 12320 13076 14944 16345 18680 20548 25685 26152 32690 35959 37360 41096 51370 52304 65380 71918 74720 82192 102740 104608 130760 143836 164384 179795 205480 261520 287672 359590 410960 523040 575344 719180 821920 1150688 1438360 2876720 5753440