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890749002025 = 5231260892
BaseRepresentation
bin11001111011001001100…
…01110010000100101001
310011011011211101200201201
430331210301302010221
5104043223221031100
61521112054244201
7121232406406651
oct14754461620451
93134154350651
10890749002025
11313845654123
12124772056661
1365cc70070cc
1431180915361
15182852c036a
hexcf64c72129

890749002025 has 27 divisors (see below), whose sum is σ = 1141495544613. Its totient is φ = 689498875200.

The previous prime is 890749001981. The next prime is 890749002049. The reversal of 890749002025 is 520200947098.

The square root of 890749002025 is 943795.

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 156786697369 + 733962304656 = 395963^2 + 856716^2 .

It is not a de Polignac number, because 890749002025 - 211 = 890748999977 is a prime.

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, 146285181 + ... + 146291269.

Almost surely, 2890749002025 is an apocalyptic number.

890749002025 is the 943795-th square number.

890749002025 is the 471898-th centered octagonal number.

It is an amenable number.

890749002025 is a deficient number, since it is larger than the sum of its proper divisors (250746542588).

890749002025 is an frugal number, since it uses more digits than its factorization.

890749002025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12250 (or 6125 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 890749002025 in words is "eight hundred ninety billion, seven hundred forty-nine million, two thousand, twenty-five".

Divisors: 1 5 25 31 155 775 961 4805 6089 24025 30445 152225 188759 943795 4718975 5851529 29257645 37075921 146288225 185379605 926898025 1149353551 5746767755 28733838775 35629960081 178149800405 890749002025