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444522252 = 223193116269
BaseRepresentation
bin11010011111101…
…101111100001100
31010222110001220010
4122133231330030
51402244203002
6112035353220
714005243146
oct3237557414
91128401803
10444522252
11208a15169
12104a52810
137112c625
1443073c96
152905a46c
hex1a7edf0c

444522252 has 48 divisors (see below), whose sum is σ = 1095494400. Its totient is φ = 139901760.

The previous prime is 444522251. The next prime is 444522257. The reversal of 444522252 is 252225444.

It is not an unprimeable number, because it can be changed into a prime (444522251) 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, 67774 + ... + 74042.

It is an arithmetic number, because the mean of its divisors is an integer number (22822800).

Almost surely, 2444522252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444522252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547747200).

444522252 is an abundant number, since it is smaller than the sum of its proper divisors (650972148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444522252 is a wasteful number, since it uses less digits than its factorization.

444522252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6606 (or 6604 counting only the distinct ones).

The product of its digits is 25600, while the sum is 30.

The square root of 444522252 is about 21083.6963552409. The cubic root of 444522252 is about 763.1873594789.

Adding to 444522252 its reverse (252225444), we get a palindrome (696747696).

The spelling of 444522252 in words is "four hundred forty-four million, five hundred twenty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 311 622 933 1244 1866 3732 5909 6269 11818 12538 17727 18807 23636 25076 35454 37614 70908 75228 119111 238222 357333 476444 714666 1429332 1949659 3899318 5848977 7798636 11697954 23395908 37043521 74087042 111130563 148174084 222261126 444522252