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444213450 = 23352477001
BaseRepresentation
bin11010011110100…
…010100011001010
31010221212101022000
4122132202203022
51402204312300
6112025011430
714002515642
oct3236424312
91127771260
10444213450
1120882415a
12104923b76
1371051bc5
1442dd3522
1528ee8c00
hex1a7a28ca

444213450 has 96 divisors (see below), whose sum is σ = 1250277120. Its totient is φ = 115920000.

The previous prime is 444213439. The next prime is 444213463. The reversal of 444213450 is 54312444.

It is a happy number.

444213450 is a `hidden beast` number, since 444 + 213 + 4 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59950 + ... + 66950.

It is an arithmetic number, because the mean of its divisors is an integer number (13023720).

Almost surely, 2444213450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444213450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625138560).

444213450 is an abundant number, since it is smaller than the sum of its proper divisors (806063670).

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

444213450 is a wasteful number, since it uses less digits than its factorization.

444213450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7069 (or 7058 counting only the distinct ones).

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

The square root of 444213450 is about 21076.3718414721. The cubic root of 444213450 is about 763.0105941420.

Adding to 444213450 its reverse (54312444), we get a palindrome (498525894).

The spelling of 444213450 in words is "four hundred forty-four million, two hundred thirteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 47 50 54 75 90 94 135 141 150 225 235 270 282 423 450 470 675 705 846 1175 1269 1350 1410 2115 2350 2538 3525 4230 6345 7001 7050 10575 12690 14002 21003 21150 31725 35005 42006 63009 63450 70010 105015 126018 175025 189027 210030 315045 329047 350050 378054 525075 630090 658094 945135 987141 1050150 1575225 1645235 1890270 1974282 2961423 3150450 3290470 4725675 4935705 5922846 8226175 8884269 9451350 9871410 14807115 16452350 17768538 24678525 29614230 44421345 49357050 74035575 88842690 148071150 222106725 444213450