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4451444452 = 22713243131167
BaseRepresentation
bin1000010010101001…
…11010011011100100
3102111020011210211001
410021110322123210
533104032210302
62013413523044
7215211440110
oct41124723344
912436153731
104451444452
1119847a7114
12a42943484
1355c305a00
143032aa740
151b0beb787
hex10953a6e4

4451444452 has 144 divisors (see below), whose sum is σ = 9999424512. Its totient is φ = 1696705920.

The previous prime is 4451444429. The next prime is 4451444453. The reversal of 4451444452 is 2544441544.

It is not an unprimeable number, because it can be changed into a prime (4451444453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26655273 + ... + 26655439.

It is an arithmetic number, because the mean of its divisors is an integer number (69440448).

Almost surely, 24451444452 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 4451444452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999712256).

4451444452 is an abundant number, since it is smaller than the sum of its proper divisors (5547980060).

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

4451444452 is a wasteful number, since it uses less digits than its factorization.

4451444452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 363 counting only the distinct ones).

The product of its digits is 204800, while the sum is 37.

The square root of 4451444452 is about 66719.1460676769. The cubic root of 4451444452 is about 1645.0041052733.

Adding to 4451444452 its reverse (2544441544), we get a palindrome (6995885996).

The spelling of 4451444452 in words is "four billion, four hundred fifty-one million, four hundred forty-four thousand, four hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 43 52 86 91 131 167 169 172 182 262 301 334 338 364 524 559 602 668 676 917 1118 1169 1183 1204 1703 1834 2171 2236 2338 2366 3406 3668 3913 4342 4676 4732 5633 6812 7181 7267 7826 8684 11266 11921 14362 14534 15197 15652 21877 22139 22532 23842 28223 28724 29068 30394 39431 43754 44278 47684 50267 50869 56446 60788 73229 78862 87508 88556 93353 100534 101738 112892 146458 153139 154973 157724 186706 197561 201068 203476 284401 292916 306278 309946 373412 395122 512603 568802 612556 619892 653471 790244 940711 951977 1025206 1137604 1213589 1306942 1881422 1903954 1990807 2050412 2427178 2613884 3697213 3762844 3807908 3981614 4854356 6584977 6663839 7394426 7963228 8495123 12229243 13169954 13327678 14788852 16990246 24458486 25880491 26339908 26655356 33980492 48916972 51760982 85604701 103521964 158980159 171209402 317960318 342418804 635920636 1112861113 2225722226 4451444452