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42315025 = 5213012
BaseRepresentation
bin1010000101101…
…0110100010001
32221121211022011
42201122310101
541313040100
64110542521
71022446264
oct241326421
987554264
1042315025
11219819a5
1212207a41
1389c749c
145896cdb
153aacbba
hex285ad11

42315025 has 9 divisors (see below), whose sum is σ = 52510993. Its totient is φ = 33826000.

The previous prime is 42315019. The next prime is 42315043. The reversal of 42315025 is 52051324.

The square root of 42315025 is 6505.

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 25472209 + 16842816 = 5047^2 + 4104^2 .

It is not a de Polignac number, because 42315025 - 23 = 42315017 is a prime.

It is a super-2 number, since 2×423150252 = 3581122681501250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42314987 and 42315005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31875 + ... + 33175.

Almost surely, 242315025 is an apocalyptic number.

42315025 is the 6505-th square number.

42315025 is the 3253-rd centered octagonal number.

It is an amenable number.

42315025 is a deficient number, since it is larger than the sum of its proper divisors (10195968).

42315025 is an frugal number, since it uses more digits than its factorization.

42315025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The cubic root of 42315025 is about 348.4695762664.

Adding to 42315025 its reverse (52051324), we get a palindrome (94366349).

The spelling of 42315025 in words is "forty-two million, three hundred fifteen thousand, twenty-five".

Divisors: 1 5 25 1301 6505 32525 1692601 8463005 42315025