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5888260225 = 5210321492
BaseRepresentation
bin1010111101111011…
…11011100010000001
3120012100210121112001
411132331323202001
544024343311400
62412141504001
7265626246301
oct53675734201
916170717461
105888260225
112551851071
121183b72001
1372aba4863
143dc043601
15246e14a6a
hex15ef7b881

5888260225 has 27 divisors (see below), whose sum is σ = 7422834153. Its totient is φ = 4633566240.

The previous prime is 5888260211. The next prime is 5888260271. The reversal of 5888260225 is 5220628885.

The square root of 5888260225 is 76735.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1757370241 + 4130889984 = 41921^2 + 64272^2 .

It is not a de Polignac number, because 5888260225 - 217 = 5888129153 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39518451 + ... + 39518599.

Almost surely, 25888260225 is an apocalyptic number.

5888260225 is the 76735-th square number.

5888260225 is the 38368-th centered octagonal number.

It is an amenable number.

5888260225 is a deficient number, since it is larger than the sum of its proper divisors (1534573928).

5888260225 is an equidigital number, since it uses as much as digits as its factorization.

5888260225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 46.

The cubic root of 5888260225 is about 1805.7695758961.

The spelling of 5888260225 in words is "five billion, eight hundred eighty-eight million, two hundred sixty thousand, two hundred twenty-five".

Divisors: 1 5 25 103 149 515 745 2575 3725 10609 15347 22201 53045 76735 111005 265225 383675 555025 1580741 2286703 7903705 11433515 39518525 57167575 235530409 1177652045 5888260225