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5256235520 = 2954214877
BaseRepresentation
bin1001110010100101…
…11100101000000000
3111120022112102121122
410321102330220000
541231044014040
62225323211412
7244153156544
oct47122745000
914508472548
105256235520
11225800a5a8
121028376b68
13659c75543
1437c121a24
1520b6bd1b5
hex1394bca00

5256235520 has 80 divisors (see below), whose sum is σ = 12635171208. Its totient is φ = 2097070080.

The previous prime is 5256235511. The next prime is 5256235531. The reversal of 5256235520 is 255326525.

It can be written as a sum of positive squares in 4 ways, for example, as 1840066816 + 3416168704 = 42896^2 + 58448^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 7 ways as a sum of consecutive naturals, for example, 1075322 + ... + 1080198.

Almost surely, 25256235520 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 5256235520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6317585604).

5256235520 is an abundant number, since it is smaller than the sum of its proper divisors (7378935688).

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

5256235520 is an equidigital number, since it uses as much as digits as its factorization.

5256235520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5321 (or 5305 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 35.

The square root of 5256235520 is about 72499.9001378623. The cubic root of 5256235520 is about 1738.7011401615.

The spelling of 5256235520 in words is "five billion, two hundred fifty-six million, two hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 421 512 640 842 1280 1684 2105 2560 3368 4210 4877 6736 8420 9754 13472 16840 19508 24385 26944 33680 39016 48770 53888 67360 78032 97540 107776 134720 156064 195080 215552 269440 312128 390160 538880 624256 780320 1077760 1248512 1560640 2053217 2497024 3121280 4106434 6242560 8212868 10266085 12485120 16425736 20532170 32851472 41064340 65702944 82128680 131405888 164257360 262811776 328514720 525623552 657029440 1051247104 1314058880 2628117760 5256235520