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42225025 = 5217731361
BaseRepresentation
bin1010000100010…
…0110110000001
32221110020211211
42201010312001
541302200100
64105010121
71021623013
oct241046601
987406754
1042225025
1121920317
1212183941
13899552b
1458721b3
153a911ba
hex2844d81

42225025 has 24 divisors (see below), whose sum is σ = 56239704. Its totient is φ = 31334400.

The previous prime is 42225017. The next prime is 42225031. The reversal of 42225025 is 52052224.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 10909809 + 31315216 = 3303^2 + 5596^2 .

It is not a de Polignac number, because 42225025 - 23 = 42225017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42224987 and 42225005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30345 + ... + 31705.

It is an arithmetic number, because the mean of its divisors is an integer number (2343321).

Almost surely, 242225025 is an apocalyptic number.

It is an amenable number.

42225025 is a deficient number, since it is larger than the sum of its proper divisors (14014679).

42225025 is a wasteful number, since it uses less digits than its factorization.

42225025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 42225025 is about 6498.0785621597. The cubic root of 42225025 is about 348.2223471162. Note that the first 3 decimals are identical.

Adding to 42225025 its reverse (52052224), we get a palindrome (94277249).

The spelling of 42225025 in words is "forty-two million, two hundred twenty-five thousand, twenty-five".

Divisors: 1 5 17 25 73 85 365 425 1241 1361 1825 6205 6805 23137 31025 34025 99353 115685 496765 578425 1689001 2483825 8445005 42225025