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38130625 = 54132192
BaseRepresentation
bin1001000101110…
…1001111000001
32122202020101101
42101131033001
534230140000
63441134401
7642051001
oct221351701
978666341
1038130625
111a584115
121092a401
137b90a00
1450c8001
153532e6a
hex245d3c1

38130625 has 45 divisors (see below), whose sum is σ = 54453663. Its totient is φ = 26676000.

The previous prime is 38130613. The next prime is 38130649. The reversal of 38130625 is 52603183.

The square root of 38130625 is 6175.

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 37662769 + 467856 = 6137^2 + 684^2 .

It is not a de Polignac number, because 38130625 - 25 = 38130593 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38130593 and 38130602.

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, 2006866 + ... + 2006884.

Almost surely, 238130625 is an apocalyptic number.

38130625 is the 6175-th square number.

38130625 is the 3088-th centered octagonal number.

It is an amenable number.

38130625 is a deficient number, since it is larger than the sum of its proper divisors (16323038).

38130625 is an equidigital number, since it uses as much as digits as its factorization.

38130625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The cubic root of 38130625 is about 336.5823264644.

The spelling of 38130625 in words is "thirty-eight million, one hundred thirty thousand, six hundred twenty-five".

Divisors: 1 5 13 19 25 65 95 125 169 247 325 361 475 625 845 1235 1625 1805 2375 3211 4225 4693 6175 8125 9025 11875 16055 21125 23465 30875 45125 61009 80275 105625 117325 154375 225625 305045 401375 586625 1525225 2006875 2933125 7626125 38130625