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5260455841 = 292412612
BaseRepresentation
bin1001110011000110…
…00010111110100001
3111120121110211210211
410321203002332201
541233134041331
62225553454121
7244234064644
oct47143027641
914517424724
105260455841
11225a432373
121029871341
1365aac2484
1437c8dda5b
1520bc538b1
hex1398c2fa1

5260455841 has 27 divisors (see below), whose sum is σ = 5677272939. Its totient is φ = 4873948800.

The previous prime is 5260455829. The next prime is 5260455857. The reversal of 5260455841 is 1485540625.

The square root of 5260455841 is 72529.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 4613262241 + 647193600 = 67921^2 + 25440^2 .

It is not a de Polignac number, because 5260455841 - 215 = 5260423073 is a prime.

It is a super-2 number, since 2×52604558412 = 55344791310222034562, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5260455794 and 5260455803.

It is not an unprimeable number, because it can be changed into a prime (5260455241) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 86236951 + ... + 86237011.

Almost surely, 25260455841 is an apocalyptic number.

5260455841 is the 72529-th square number.

5260455841 is the 36265-th centered octagonal number.

It is an amenable number.

5260455841 is a deficient number, since it is larger than the sum of its proper divisors (416817098).

5260455841 is an frugal number, since it uses more digits than its factorization.

5260455841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 40.

The cubic root of 5260455841 is about 1739.1663599232.

The spelling of 5260455841 in words is "five billion, two hundred sixty million, four hundred fifty-five thousand, eight hundred forty-one".

Divisors: 1 29 41 61 841 1189 1681 1769 2501 3721 34481 48749 51301 72529 102541 107909 152561 1413721 2103341 2973689 3129361 4424269 6255001 86236981 128303801 181395029 5260455841