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47025 = 32521119
BaseRepresentation
bin1011011110110001
32101111200
423132301
53001100
61001413
7254046
oct133661
971450
1047025
1132370
1223269
1318534
14131cd
15de00
hexb7b1

47025 has 36 divisors (see below), whose sum is σ = 96720. Its totient is φ = 21600.

The previous prime is 47017. The next prime is 47041. The reversal of 47025 is 52074.

47025 = 282 + 292 + ... + 542.

47025 = 243 + 253 + 263.

It is a happy number.

It is not a de Polignac number, because 47025 - 23 = 47017 is a prime.

It is a super-2 number, since 2×470252 = 4422701250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46989 and 47007.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 47025.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2466 + ... + 2484.

247025 is an apocalyptic number.

47025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47025 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48360).

47025 is a wasteful number, since it uses less digits than its factorization.

47025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 47025 is about 216.8524844220. The cubic root of 47025 is about 36.0946582950.

Adding to 47025 its reverse (52074), we get a palindrome (99099).

The spelling of 47025 in words is "forty-seven thousand, twenty-five".

Divisors: 1 3 5 9 11 15 19 25 33 45 55 57 75 95 99 165 171 209 225 275 285 475 495 627 825 855 1045 1425 1881 2475 3135 4275 5225 9405 15675 47025