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444122501 = 17297331229
BaseRepresentation
bin11010011110001…
…100010110000101
31010221200202112112
4122132030112011
51402143410001
6112023030405
714001656534
oct3236142605
91127622475
10444122501
11208771899
1210489b405
137101c6a4
1442dac31b
1528ecbcbb
hex1a78c585

444122501 has 16 divisors (see below), whose sum is σ = 487522800. Its totient is φ = 402705408.

The previous prime is 444122489. The next prime is 444122519. The reversal of 444122501 is 105221444.

It can be written as a sum of positive squares in 8 ways, for example, as 234886276 + 209236225 = 15326^2 + 14465^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-444122501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444122531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360755 + ... + 361983.

It is an arithmetic number, because the mean of its divisors is an integer number (30470175).

Almost surely, 2444122501 is an apocalyptic number.

It is an amenable number.

444122501 is a deficient number, since it is larger than the sum of its proper divisors (43400299).

444122501 is a wasteful number, since it uses less digits than its factorization.

444122501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008.

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 444122501 is about 21074.2141253239. The cubic root of 444122501 is about 762.9585172353.

Adding to 444122501 its reverse (105221444), we get a palindrome (549343945).

The spelling of 444122501 in words is "four hundred forty-four million, one hundred twenty-two thousand, five hundred one".

Divisors: 1 17 29 493 733 1229 12461 20893 21257 35641 361369 605897 900857 15314569 26124853 444122501