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47955625 = 542772
BaseRepresentation
bin1011011011101…
…1111010101001
310100020101202021
42312323322221
544234040000
64431504441
71121421214
oct266737251
9110211667
1047955625
1125084853
1214088121
139c20a13
14652477b
15432411a
hex2dbbea9

47955625 has 15 divisors (see below), whose sum is σ = 60142467. Its totient is φ = 38226000.

The previous prime is 47955569. The next prime is 47955629. The reversal of 47955625 is 52655974.

The square root of 47955625 is 6925.

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

It can be written as a sum of positive squares in 7 ways, for example, as 46963609 + 992016 = 6853^2 + 996^2 .

It is not a de Polignac number, because 47955625 - 27 = 47955497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47955629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 172987 + ... + 173263.

Almost surely, 247955625 is an apocalyptic number.

47955625 is the 6925-th square number.

47955625 is the 3463-rd centered octagonal number.

It is an amenable number.

47955625 is a deficient number, since it is larger than the sum of its proper divisors (12186842).

47955625 is an frugal number, since it uses more digits than its factorization.

47955625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 282 counting only the distinct ones).

The product of its digits is 378000, while the sum is 43.

The cubic root of 47955625 is about 363.3120913616.

The spelling of 47955625 in words is "forty-seven million, nine hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 125 277 625 1385 6925 34625 76729 173125 383645 1918225 9591125 47955625