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8091902025 = 345219992
BaseRepresentation
bin1111000100101000…
…01010000001001001
3202212221100012210000
413202110022001021
5113033011331100
63414541313213
7404345014044
oct74224120111
922787305700
108091902025
113482738839
121699b65809
139bc5aca0c
1456a98bc5b
15325600900
hex1e250a049

8091902025 has 45 divisors (see below), whose sum is σ = 14996501751. Its totient is φ = 4313522160.

The previous prime is 8091902023. The next prime is 8091902051. The reversal of 8091902025 is 5202091908.

The square root of 8091902025 is 89955.

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

It can be written as a sum of positive squares in only one way, i.e., 2913084729 + 5178817296 = 53973^2 + 71964^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 8091902025 - 21 = 8091902023 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8091902023) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4046976 + ... + 4048974.

Almost surely, 28091902025 is an apocalyptic number.

8091902025 is the 89955-th square number.

8091902025 is the 44978-th centered octagonal number.

It is an amenable number.

8091902025 is a deficient number, since it is larger than the sum of its proper divisors (6904599726).

8091902025 is an frugal number, since it uses more digits than its factorization.

8091902025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4020 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The cubic root of 8091902025 is about 2007.6293614979.

Multiplying 8091902025 by its sum of digits (36), we get a square (291308472900 = 5397302).

It can be divided in two parts, 8091 and 902025, that added together give a square (910116 = 9542).

The spelling of 8091902025 in words is "eight billion, ninety-one million, nine hundred two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 1999 2025 5997 9995 17991 29985 49975 53973 89955 149925 161919 269865 449775 809595 1349325 3996001 4047975 11988003 19980005 35964009 59940015 99900025 107892027 179820045 299700075 323676081 539460135 899100225 1618380405 2697300675 8091902025