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53255600 = 2452294591
BaseRepresentation
bin1100101100100…
…1110110110000
310201012122221122
43023021312300
5102113134400
65141241412
71214444066
oct313116660
9121178848
1053255600
11280747a2
1215a03268
13b0581b8
147104036
154a1e685
hex32c9db0

53255600 has 60 divisors (see below), whose sum is σ = 132387360. Its totient is φ = 20563200.

The previous prime is 53255593. The next prime is 53255621. The reversal of 53255600 is 655235.

53255600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 53255600.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9305 + ... + 13895.

It is an arithmetic number, because the mean of its divisors is an integer number (2206456).

Almost surely, 253255600 is an apocalyptic number.

53255600 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 53255600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66193680).

53255600 is an abundant number, since it is smaller than the sum of its proper divisors (79131760).

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

53255600 is a wasteful number, since it uses less digits than its factorization.

53255600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638 (or 4627 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 53255600 is about 7297.6434552532. The cubic root of 53255600 is about 376.2314479655.

The spelling of 53255600 in words is "fifty-three million, two hundred fifty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2900 4591 5800 9182 11600 18364 22955 36728 45910 73456 91820 114775 133139 183640 229550 266278 367280 459100 532556 665695 918200 1065112 1331390 1836400 2130224 2662780 3328475 5325560 6656950 10651120 13313900 26627800 53255600