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442442025 = 32521966409
BaseRepresentation
bin11010010111110…
…010000100101001
31010211112101100200
4122113302010221
51401231121100
6111523022413
713651460304
oct3227620451
91124471320
10442442025
11207824273
1210420aa09
137088181c
1442a91b3b
1528c98e00
hex1a5f2129

442442025 has 18 divisors (see below), whose sum is σ = 792463230. Its totient is φ = 235968960.

The previous prime is 442442023. The next prime is 442442027. The reversal of 442442025 is 520244244.

It is an interprime number because it is at equal distance from previous prime (442442023) and next prime (442442027).

It can be written as a sum of positive squares in 3 ways, for example, as 7469289 + 434972736 = 2733^2 + 20856^2 .

It is not a de Polignac number, because 442442025 - 21 = 442442023 is a prime.

It is a super-2 number, since 2×4424420252 = 391509890972201250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 442442025.

It is not an unprimeable number, because it can be changed into a prime (442442023) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 982980 + ... + 983429.

It is an arithmetic number, because the mean of its divisors is an integer number (44025735).

Almost surely, 2442442025 is an apocalyptic number.

442442025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442442025 is a deficient number, since it is larger than the sum of its proper divisors (350021205).

442442025 is a wasteful number, since it uses less digits than its factorization.

442442025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966425 (or 1966417 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 442442025 is about 21034.3059072554. The cubic root of 442442025 is about 761.9950037906.

Adding to 442442025 its reverse (520244244), we get a palindrome (962686269).

The spelling of 442442025 in words is "four hundred forty-two million, four hundred forty-two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 1966409 5899227 9832045 17697681 29496135 49160225 88488405 147480675 442442025