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445440450 = 235271332633
BaseRepresentation
bin11010100011001…
…110000111000010
31011001011201102110
4122203032013002
51403013043300
6112111200150
714016116130
oct3243160702
91131151373
10445440450
11209492004
12105216056
1371391540
1443232750
152918c550
hex1a8ce1c2

445440450 has 96 divisors (see below), whose sum is σ = 1359662976. Its totient is φ = 93980160.

The previous prime is 445440449. The next prime is 445440467. The reversal of 445440450 is 54044544.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2667 + ... + 29966.

It is an arithmetic number, because the mean of its divisors is an integer number (14163156).

Almost surely, 2445440450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445440450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679831488).

445440450 is an abundant number, since it is smaller than the sum of its proper divisors (914222526).

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

445440450 is a wasteful number, since it uses less digits than its factorization.

445440450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32668 (or 32663 counting only the distinct ones).

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

The square root of 445440450 is about 21105.4601939877. The cubic root of 445440450 is about 763.7124739255.

Adding to 445440450 its reverse (54044544), we get a palindrome (499484994).

The spelling of 445440450 in words is "four hundred forty-five million, four hundred forty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 50 65 70 75 78 91 105 130 150 175 182 195 210 273 325 350 390 455 525 546 650 910 975 1050 1365 1950 2275 2730 4550 6825 13650 32633 65266 97899 163165 195798 228431 326330 424229 456862 489495 685293 815825 848458 978990 1142155 1272687 1370586 1631650 2121145 2284310 2447475 2545374 2969603 3426465 4242290 4894950 5710775 5939206 6363435 6852930 8908809 10605725 11421550 12726870 14848015 17132325 17817618 21211450 29696030 31817175 34264650 44544045 63634350 74240075 89088090 148480150 222720225 445440450