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53530000 = 245453101
BaseRepresentation
bin1100110000110…
…0110110010000
310201201121100121
43030030312100
5102200430000
65151200024
71216666066
oct314146620
9121647317
1053530000
1128241977
1215b16014
13b123074
147176036
154a75b1a
hex330cd90

53530000 has 100 divisors (see below), whose sum is σ = 133354188. Its totient is φ = 20800000.

The previous prime is 53529989. The next prime is 53530007. The reversal of 53530000 is 3535.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 20214016 + 33315984 = 4496^2 + 5772^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (53530007) 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 19 ways as a sum of consecutive naturals, for example, 529950 + ... + 530050.

Almost surely, 253530000 is an apocalyptic number.

53530000 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 53530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66677094).

53530000 is an abundant number, since it is smaller than the sum of its proper divisors (79824188).

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

53530000 is a wasteful number, since it uses less digits than its factorization.

53530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 16.

The square root of 53530000 is about 7316.4198895361. The cubic root of 53530000 is about 376.8765200562.

Adding to 53530000 its reverse (3535), we get a palindrome (53533535).

It can be divided in two parts, 53 and 530000, that multiplied together give a square (28090000 = 53002).

The spelling of 53530000 in words is "fifty-three million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 101 106 125 200 202 212 250 265 400 404 424 500 505 530 625 808 848 1000 1010 1060 1250 1325 1616 2000 2020 2120 2500 2525 2650 4040 4240 5000 5050 5300 5353 6625 8080 10000 10100 10600 10706 12625 13250 20200 21200 21412 25250 26500 26765 33125 40400 42824 50500 53000 53530 63125 66250 85648 101000 106000 107060 126250 132500 133825 202000 214120 252500 265000 267650 428240 505000 530000 535300 669125 1010000 1070600 1338250 2141200 2676500 3345625 5353000 6691250 10706000 13382500 26765000 53530000