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30625 = 5472
BaseRepresentation
bin111011110100001
31120000021
413132201
51440000
6353441
7155200
oct73641
946007
1030625
1121011
1215881
1310c2a
14b237
15911a
hex77a1

30625 has 15 divisors (see below), whose sum is σ = 44517. Its totient is φ = 21000.

The previous prime is 30593. The next prime is 30631. The reversal of 30625 is 52603.

30625 = T174 + T175.

The square root of 30625 is 175.

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

It can be written as a sum of positive squares in 2 ways, for example, as 2401 + 28224 = 49^2 + 168^2 .

It is not a de Polignac number, because 30625 - 25 = 30593 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 30599 and 30608.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4372 + ... + 4378.

30625 is a Friedman number, since it can be written as (60*3-5)^2, using all its digits and the basic arithmetic operations.

230625 is an apocalyptic number.

30625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

30625 is the 175-th square number.

30625 is the 88-th centered octagonal number.

It is an amenable number.

30625 is a deficient number, since it is larger than the sum of its proper divisors (13892).

30625 is an frugal number, since it uses more digits than its factorization.

30625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The cubic root of 30625 is about 31.2866237284.

Multiplying 30625 by its sum of digits (16), we get a square (490000 = 7002).

The spelling of 30625 in words is "thirty thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 625 875 1225 4375 6125 30625