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53716000 = 2553131033
BaseRepresentation
bin1100110011101…
…0010000100000
310202002001111111
43030322100200
5102222403000
65155153104
71221402262
oct314722040
9122061444
1053716000
1128359698
1215ba5794
13b189920
1471c3b32
154ab0cba
hex333a420

53716000 has 96 divisors (see below), whose sum is σ = 142270128. Its totient is φ = 19814400.

The previous prime is 53715989. The next prime is 53716007. The reversal of 53716000 is 61735.

It can be written as a sum of positive squares in 8 ways, for example, as 4210704 + 49505296 = 2052^2 + 7036^2 .

It is not an unprimeable number, because it can be changed into a prime (53716007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51484 + ... + 52516.

Almost surely, 253716000 is an apocalyptic number.

53716000 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 53716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71135064).

53716000 is an abundant number, since it is smaller than the sum of its proper divisors (88554128).

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

53716000 is a wasteful number, since it uses less digits than its factorization.

53716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 53716000 is about 7329.1200017465. The cubic root of 53716000 is about 377.3125247785.

Adding to 53716000 its reverse (61735), we get a palindrome (53777735).

The spelling of 53716000 in words is "fifty-three million, seven hundred sixteen 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 1033 1040 1300 1625 2000 2066 2080 2600 3250 4000 4132 5165 5200 6500 8264 10330 10400 13000 13429 16528 20660 25825 26000 26858 33056 41320 51650 52000 53716 67145 82640 103300 107432 129125 134290 165280 206600 214864 258250 268580 335725 413200 429728 516500 537160 671450 826400 1033000 1074320 1342900 1678625 2066000 2148640 2685800 3357250 4132000 5371600 6714500 10743200 13429000 26858000 53716000