Search a number
-
+
5108675625 = 32549532
BaseRepresentation
bin1001100001000000…
…00011010000101001
3111012000212121111100
410300200003100221
540430310110000
62202532352013
7240412012014
oct46040032051
914160777440
105108675625
112191794679
12ba6a75609
1363551c1b1
143666b037b
151ed771a00
hex130803429

5108675625 has 45 divisors (see below), whose sum is σ = 9230731939. Its totient is φ = 2721768000.

The previous prime is 5108675569. The next prime is 5108675687. The reversal of 5108675625 is 5265768015.

The square root of 5108675625 is 71475.

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

5108675625 is a `hidden beast` number, since 5 + 1 + 0 + 86 + 7 + 562 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 4268139561 + 840536064 = 65331^2 + 28992^2 .

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

It is not a de Polignac number, because 5108675625 - 29 = 5108675113 is a prime.

It is a super-3 number, since 3×51086756253 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5360149 + ... + 5361101.

Almost surely, 25108675625 is an apocalyptic number.

5108675625 is the 71475-th square number.

5108675625 is the 35738-th centered octagonal number.

It is an amenable number.

5108675625 is a deficient number, since it is larger than the sum of its proper divisors (4122056314).

5108675625 is an frugal number, since it uses more digits than its factorization.

5108675625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The cubic root of 5108675625 is about 1722.2761043188.

The spelling of 5108675625 in words is "five billion, one hundred eight million, six hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 953 1125 1875 2859 4765 5625 8577 14295 23825 42885 71475 119125 214425 357375 595625 908209 1072125 1786875 2724627 4541045 5360625 8173881 13623135 22705225 40869405 68115675 113526125 204347025 340578375 567630625 1021735125 1702891875 5108675625