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441427532 = 227131983769
BaseRepresentation
bin11010010011111…
…010011001001100
31010202121211201212
4122103322121030
51401001140112
6111445153552
713640033510
oct3223723114
91122554655
10441427532
112071a1047
121039bb8b8
13705b7b30
14428aa140
1528b48522
hex1a4fa64c

441427532 has 96 divisors (see below), whose sum is σ = 1014182400. Its totient is φ = 163233792.

The previous prime is 441427471. The next prime is 441427543. The reversal of 441427532 is 235724144.

It is a super-2 number, since 2×4414275322 = 389716532015222048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573644 + ... + 574412.

It is an arithmetic number, because the mean of its divisors is an integer number (10564400).

Almost surely, 2441427532 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 441427532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507091200).

441427532 is an abundant number, since it is smaller than the sum of its proper divisors (572754868).

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

441427532 is a wasteful number, since it uses less digits than its factorization.

441427532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 893 counting only the distinct ones).

The product of its digits is 26880, while the sum is 32.

The square root of 441427532 is about 21010.1768674136. The cubic root of 441427532 is about 761.4121551527.

The spelling of 441427532 in words is "four hundred forty-one million, four hundred twenty-seven thousand, five hundred thirty-two".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 83 91 133 166 182 247 266 332 364 494 532 581 769 988 1079 1162 1538 1577 1729 2158 2324 3076 3154 3458 4316 5383 6308 6916 7553 9997 10766 11039 14611 15106 19994 20501 21532 22078 29222 30212 39988 41002 44156 58444 63827 69979 82004 102277 127654 139958 143507 189943 204554 255308 279916 287014 379886 409108 446789 574028 759772 829751 893578 1212713 1329601 1659502 1787156 2425426 2659202 3319004 4850852 5318404 5808257 8488991 11616514 15765269 16977982 23233028 31530538 33955964 63061076 110356883 220713766 441427532