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1483414016 = 2971797251
BaseRepresentation
bin101100001101011…
…0001101000000000
310211101022020110212
41120122301220000
511014223222031
6403110413252
751521545130
oct13032615000
93741266425
101483414016
116a13919a7
12354961228
131a8435a96
14101026ac0
158a37012b
hex586b1a00

1483414016 has 160 divisors (see below), whose sum is σ = 3638017152. Its totient is φ = 589824000.

The previous prime is 1483414013. The next prime is 1483414021. The reversal of 1483414016 is 6104143841.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1483414013) by changing a digit.

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, 5909891 + ... + 5910141.

Almost surely, 21483414016 is an apocalyptic number.

1483414016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1483414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819008576).

1483414016 is an abundant number, since it is smaller than the sum of its proper divisors (2154603136).

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

1483414016 is an equidigital number, since it uses as much as digits as its factorization.

1483414016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 1483414016 is about 38515.1141241980. The cubic root of 1483414016 is about 1140.4794372034.

Adding to 1483414016 its reverse (6104143841), we get a palindrome (7587557857).

The spelling of 1483414016 in words is "one billion, four hundred eighty-three million, four hundred fourteen thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 97 112 119 128 136 194 224 238 251 256 272 388 448 476 502 512 544 679 776 896 952 1004 1088 1358 1552 1649 1757 1792 1904 2008 2176 2716 3104 3298 3514 3584 3808 4016 4267 4352 5432 6208 6596 7028 7616 8032 8534 8704 10864 11543 12416 13192 14056 15232 16064 17068 21728 23086 24347 24832 26384 28112 29869 30464 32128 34136 43456 46172 48694 49664 52768 56224 59738 60928 64256 68272 86912 92344 97388 105536 112448 119476 128512 136544 170429 173824 184688 194776 211072 224896 238952 273088 340858 347648 369376 389552 413899 422144 449792 477904 546176 681716 738752 779104 827798 844288 899584 955808 1092352 1363432 1477504 1558208 1655596 1911616 2184704 2726864 2897293 2955008 3116416 3311192 3823232 5453728 5794586 5910016 6232832 6622384 7646464 10907456 11589172 12465664 13244768 15292928 21814912 23178344 26489536 43629824 46356688 52979072 87259648 92713376 105958144 185426752 211916288 370853504 741707008 1483414016