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525443328 = 2833194001
BaseRepresentation
bin11111010100011…
…010000100000000
31100121201021202000
4133110122010000
52034003141303
6124050024000
716010123514
oct3724320400
91317637660
10525443328
1124a665393
12127b78000
1384b23017
144dada144
15311e1da3
hex1f51a100

525443328 has 144 divisors (see below), whose sum is σ = 1636017600. Its totient is φ = 165888000.

The previous prime is 525443291. The next prime is 525443339. The reversal of 525443328 is 823344525.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 525443292 and 525443301.

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, 129328 + ... + 133328.

Almost surely, 2525443328 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 525443328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818008800).

525443328 is an abundant number, since it is smaller than the sum of its proper divisors (1110574272).

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

525443328 is a wasteful number, since it uses less digits than its factorization.

525443328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045 (or 4025 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 525443328 is about 22922.5506434166. The cubic root of 525443328 is about 806.9413315374.

The spelling of 525443328 in words is "five hundred twenty-five million, four hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 513 576 608 684 768 864 912 1026 1152 1216 1368 1728 1824 2052 2304 2432 2736 3456 3648 4001 4104 4864 5472 6912 7296 8002 8208 10944 12003 14592 16004 16416 21888 24006 32008 32832 36009 43776 48012 64016 65664 72018 76019 96024 108027 128032 131328 144036 152038 192048 216054 228057 256064 288072 304076 384096 432108 456114 512128 576144 608152 684171 768192 864216 912228 1024256 1152288 1216304 1368342 1536384 1728432 1824456 2052513 2304576 2432608 2736684 3072768 3456864 3648912 4105026 4609152 4865216 5473368 6913728 7297824 8210052 9218304 9730432 10946736 13827456 14595648 16420104 19460864 21893472 27654912 29191296 32840208 43786944 58382592 65680416 87573888 131360832 175147776 262721664 525443328