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52510720 = 2145641
BaseRepresentation
bin1100100001010…
…0000000000000
310122210211011111
43020110000000
5101420320340
65113253104
71205222323
oct310240000
9118724144
1052510720
1127706099
1215704194
13ab57142
146d8c7ba
154923aea
hex3214000

52510720 has 60 divisors (see below), whose sum is σ = 126218484. Its totient is φ = 20971520.

The previous prime is 52510693. The next prime is 52510723. The reversal of 52510720 is 2701525.

It can be written as a sum of positive squares in 2 ways, for example, as 34668544 + 17842176 = 5888^2 + 4224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 52510691 and 52510700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52510723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81600 + ... + 82240.

Almost surely, 252510720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52510720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63109242).

52510720 is an abundant number, since it is smaller than the sum of its proper divisors (73707764).

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

52510720 is an frugal number, since it uses more digits than its factorization.

52510720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 52510720 is about 7246.4280856157. The cubic root of 52510720 is about 374.4691035668.

The spelling of 52510720 in words is "fifty-two million, five hundred ten thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 641 1024 1280 1282 2048 2560 2564 3205 4096 5120 5128 6410 8192 10240 10256 12820 16384 20480 20512 25640 40960 41024 51280 81920 82048 102560 164096 205120 328192 410240 656384 820480 1312768 1640960 2625536 3281920 5251072 6563840 10502144 13127680 26255360 52510720