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1485444032 = 26293797223
BaseRepresentation
bin101100010001010…
…0001001111000000
310211112010101010122
41120202201033000
511020233202112
6403222115412
751545031422
oct13042411700
93745111118
101485444032
116a25490a6
1235557bb68
131a8996a87
141013d4812
158a621872
hex588a13c0

1485444032 has 112 divisors (see below), whose sum is σ = 3178210560. Its totient is φ = 687439872.

The previous prime is 1485444017. The next prime is 1485444049. The reversal of 1485444032 is 2304445841.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1485443983 and 1485444001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6661073 + ... + 6661295.

It is an arithmetic number, because the mean of its divisors is an integer number (28376880).

Almost surely, 21485444032 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 1485444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589105280).

1485444032 is an abundant number, since it is smaller than the sum of its proper divisors (1692766528).

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

1485444032 is a wasteful number, since it uses less digits than its factorization.

1485444032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The square root of 1485444032 is about 38541.4586127718. The cubic root of 1485444032 is about 1140.9994395286. Note that the first 3 decimals are identical.

Adding to 1485444032 its reverse (2304445841), we get a palindrome (3789889873).

The spelling of 1485444032 in words is "one billion, four hundred eighty-five million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 29 32 37 58 64 74 97 116 148 194 223 232 296 388 446 464 592 776 892 928 1073 1184 1552 1784 1856 2146 2368 2813 3104 3568 3589 4292 5626 6208 6467 7136 7178 8251 8584 11252 12934 14272 14356 16502 17168 21631 22504 25868 28712 33004 34336 43262 45008 51736 57424 66008 68672 86524 90016 103472 104081 114848 132016 173048 180032 206944 208162 229696 239279 264032 346096 413888 416324 478558 528064 627299 692192 800347 832648 957116 1254598 1384384 1600694 1665296 1914232 2509196 3201388 3330592 3828464 5018392 6402776 6661184 7656928 10036784 12805552 15313856 20073568 23210063 25611104 40147136 46420126 51222208 92840252 185680504 371361008 742722016 1485444032