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5104388025 = 32521124332
BaseRepresentation
bin1001100000011111…
…01100011110111001
3111011201210210000100
410300033230132321
540423210404100
62202300430013
7240330403512
oct46017543671
914151723010
105104388025
11218a326300
12ba5548309
1363467a759
14365cb5a09
151ed1c6400
hex1303ec7b9

5104388025 has 81 divisors (see below), whose sum is σ = 10072484877. Its totient is φ = 2469139200.

The previous prime is 5104387993. The next prime is 5104388039. The reversal of 5104388025 is 5208834015.

It is a happy number.

The square root of 5104388025 is 71445.

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

5104388025 is a `hidden beast` number, since 510 + 43 + 8 + 80 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1560329001 + 3544059024 = 39501^2 + 59532^2 .

It is not a de Polignac number, because 5104388025 - 25 = 5104387993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11788209 + ... + 11788641.

Almost surely, 25104388025 is an apocalyptic number.

5104388025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5104388025 is the 71445-th square number.

5104388025 is the 35723-rd centered octagonal number.

It is an amenable number.

5104388025 is a deficient number, since it is larger than the sum of its proper divisors (4968096852).

5104388025 is a wasteful number, since it uses less digits than its factorization.

5104388025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The cubic root of 5104388025 is about 1721.7941465411.

Multiplying 5104388025 by its sum of digits (36), we get a square (183757968900 = 4286702).

It can be divided in two parts, 5104 and 388025, that added together give a square (393129 = 6272).

The spelling of 5104388025 in words is "five billion, one hundred four million, three hundred eighty-eight thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 121 165 225 275 363 433 495 605 825 1089 1299 1815 2165 2475 3025 3897 4763 5445 6495 9075 10825 14289 19485 23815 27225 32475 42867 52393 71445 97425 119075 157179 187489 214335 261965 357225 471537 562467 785895 937445 1071675 1309825 1687401 2062379 2357685 2812335 3929475 4687225 6187137 8437005 10311895 11788425 14061675 18561411 22686169 30935685 42185025 51559475 68058507 92807055 113430845 154678425 204175521 340292535 464035275 567154225 1020877605 1701462675 5104388025