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444620025 = 32522968141
BaseRepresentation
bin11010100000000…
…101110011111001
31010222122001000100
4122200011303321
51402310320100
6112041430013
714006131203
oct3240056371
91128561010
10444620025
11208a81673
12104a9b309
1371164c95
144309b773
1529079400
hex1a805cf9

444620025 has 36 divisors (see below), whose sum is σ = 823836780. Its totient is φ = 228950400.

The previous prime is 444620003. The next prime is 444620027. The reversal of 444620025 is 520026444.

It can be written as a sum of positive squares in 6 ways, for example, as 99440784 + 345179241 = 9972^2 + 18579^2 .

It is not a de Polignac number, because 444620025 - 25 = 444619993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (444620027) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27546 + ... + 40595.

It is an arithmetic number, because the mean of its divisors is an integer number (22884355).

Almost surely, 2444620025 is an apocalyptic number.

444620025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

444620025 is a deficient number, since it is larger than the sum of its proper divisors (379216755).

444620025 is a wasteful number, since it uses less digits than its factorization.

444620025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68186 (or 68178 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 444620025 is about 21086.0149151043. The cubic root of 444620025 is about 763.2433099194.

Adding to 444620025 its reverse (520026444), we get a palindrome (964646469).

The spelling of 444620025 in words is "four hundred forty-four million, six hundred twenty thousand, twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 145 225 261 435 725 1305 2175 6525 68141 204423 340705 613269 1022115 1703525 1976089 3066345 5110575 5928267 9880445 15331725 17784801 29641335 49402225 88924005 148206675 444620025