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47265625 = 58112
BaseRepresentation
bin1011010001001…
…1011101011001
310021221100020201
42310103131121
544100000000
64405022201
71112515441
oct264233531
9107840221
1047265625
1124753400
12139b4961
139a3b934
1463c5121
15423996a
hex2d13759

47265625 has 27 divisors (see below), whose sum is σ = 64941373. Its totient is φ = 34375000.

The previous prime is 47265577. The next prime is 47265671. The reversal of 47265625 is 52656274.

The square root of 47265625 is 6875.

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

It can be written as a sum of positive squares in 4 ways, for example, as 33605209 + 13660416 = 5797^2 + 3696^2 .

It is a de Polignac number, because none of the positive numbers 2k-47265625 is a prime.

It is a Duffinian number.

Its product of digits (100800) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4296870 + ... + 4296880.

Almost surely, 247265625 is an apocalyptic number.

47265625 is the 6875-th square number.

47265625 is the 3438-th centered octagonal number.

It is an amenable number.

47265625 is a deficient number, since it is larger than the sum of its proper divisors (17675748).

47265625 is an frugal number, since it uses more digits than its factorization.

47265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 16 counting only the distinct ones).

The product of its digits is 100800, while the sum is 37.

The cubic root of 47265625 is about 361.5611854703.

The spelling of 47265625 in words is "forty-seven million, two hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 275 605 625 1375 3025 3125 6875 15125 15625 34375 75625 78125 171875 378125 390625 859375 1890625 4296875 9453125 47265625