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42025 = 52412
BaseRepresentation
bin1010010000101001
32010122111
422100221
52321100
6522321
7233344
oct122051
963574
1042025
1129635
12203a1
1316189
141145b
15c6ba
hexa429

42025 has 9 divisors (see below), whose sum is σ = 53413. Its totient is φ = 32800.

The previous prime is 42023. The next prime is 42043. The reversal of 42025 is 52024.

It is a happy number.

The square root of 42025 is 205.

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 17689 + 24336 = 133^2 + 156^2 .

It is not a de Polignac number, because 42025 - 21 = 42023 is a prime.

It is a super-2 number, since 2×420252 = 3532201250, which contains 22 as substring.

It is a Duffinian number.

42025 is a lucky number.

It is a plaindrome in base 7 and base 14.

It is a junction number, because it is equal to n+sod(n) for n = 41996 and 42014.

It is not an unprimeable number, because it can be changed into a prime (42023) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1005 + ... + 1045.

42025 is a Friedman number, since it can be written as 205^(4-2), using all its digits and the basic arithmetic operations.

242025 is an apocalyptic number.

42025 is the 205-th square number.

42025 is the 103-rd centered octagonal number.

It is an amenable number.

42025 is a deficient number, since it is larger than the sum of its proper divisors (11388).

42025 is an equidigital number, since it uses as much as digits as its factorization.

42025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The cubic root of 42025 is about 34.7671619592.

The spelling of 42025 in words is "forty-two thousand, twenty-five".

Divisors: 1 5 25 41 205 1025 1681 8405 42025