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53612000 = 2553131031
BaseRepresentation
bin1100110010000…
…0110111100000
310201212202211122
43030200313200
5102211041000
65153031412
71220460131
oct314406740
9121782748
1053612000
1128298542
1215b55568
13b1514a0
147197c88
154a90085
hex3320de0

53612000 has 96 divisors (see below), whose sum is σ = 141994944. Its totient is φ = 19776000.

The previous prime is 53611973. The next prime is 53612021. The reversal of 53612000 is 21635.

It is a self number, because there is not a number n which added to its sum of digits gives 53612000.

It is a congruent number.

It is an unprimeable number.

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, 51485 + ... + 52515.

It is an arithmetic number, because the mean of its divisors is an integer number (1479114).

Almost surely, 253612000 is an apocalyptic number.

53612000 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 53612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70997472).

53612000 is an abundant number, since it is smaller than the sum of its proper divisors (88382944).

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

53612000 is a wasteful number, since it uses less digits than its factorization.

53612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 53612000 is about 7322.0215787718. The cubic root of 53612000 is about 377.0688614723.

Adding to 53612000 its reverse (21635), we get a palindrome (53633635).

The spelling of 53612000 in words is "fifty-three million, six hundred twelve thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1031 1040 1300 1625 2000 2062 2080 2600 3250 4000 4124 5155 5200 6500 8248 10310 10400 13000 13403 16496 20620 25775 26000 26806 32992 41240 51550 52000 53612 67015 82480 103100 107224 128875 134030 164960 206200 214448 257750 268060 335075 412400 428896 515500 536120 670150 824800 1031000 1072240 1340300 1675375 2062000 2144480 2680600 3350750 4124000 5361200 6701500 10722400 13403000 26806000 53612000