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5753500 = 225337311
BaseRepresentation
bin10101111100101010011100
3101211022022121
4111330222130
52433103000
6323152324
766622024
oct25745234
911738277
105753500
11327a765
121b156a4
131265a4c
14a9aa84
15789b1a
hex57ca9c

5753500 has 48 divisors (see below), whose sum is σ = 12946752. Its totient is φ = 2232000.

The previous prime is 5753483. The next prime is 5753509. The reversal of 5753500 is 53575.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5753509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18345 + ... + 18655.

It is an arithmetic number, because the mean of its divisors is an integer number (269724).

Almost surely, 25753500 is an apocalyptic number.

5753500 is a gapful number since it is divisible by the number (50) 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 5753500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6473376).

5753500 is an abundant number, since it is smaller than the sum of its proper divisors (7193252).

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

5753500 is a wasteful number, since it uses less digits than its factorization.

5753500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 25.

The square root of 5753500 is about 2398.6454510828. The cubic root of 5753500 is about 179.1887359390.

The spelling of 5753500 in words is "five million, seven hundred fifty-three thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 125 148 185 250 311 370 500 622 740 925 1244 1555 1850 3110 3700 4625 6220 7775 9250 11507 15550 18500 23014 31100 38875 46028 57535 77750 115070 155500 230140 287675 575350 1150700 1438375 2876750 5753500