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802025532 = 2232721141333
BaseRepresentation
bin101111110011011…
…111000000111100
32001220011010012100
4233303133000330
53120304304112
6211330105100
725606050600
oct5763370074
92056133170
10802025532
113817a4720
121a471b190
13ca211b29
1478735500
154a6272dc
hex2fcdf03c

802025532 has 108 divisors (see below), whose sum is σ = 2572793496. Its totient is φ = 208313280.

The previous prime is 802025519. The next prime is 802025557. The reversal of 802025532 is 235520208.

It is a junction number, because it is equal to n+sod(n) for n = 802025496 and 802025505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1263 + ... + 40070.

It is an arithmetic number, because the mean of its divisors is an integer number (23822162).

Almost surely, 2802025532 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 802025532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286396748).

802025532 is an abundant number, since it is smaller than the sum of its proper divisors (1770767964).

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

802025532 is a wasteful number, since it uses less digits than its factorization.

802025532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41368 (or 41356 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 802025532 is about 28320.0552965562. The cubic root of 802025532 is about 929.1005803141.

The spelling of 802025532 in words is "eight hundred two million, twenty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 294 308 396 441 462 539 588 693 882 924 1078 1386 1617 1764 2156 2772 3234 4851 6468 9702 19404 41333 82666 123999 165332 247998 289331 371997 454663 495996 578662 743994 867993 909326 1157324 1363989 1487988 1735986 1818652 2025317 2603979 2727978 3182641 3471972 4050634 4091967 5207958 5455956 6075951 6365282 8101268 8183934 9547923 10415916 12151902 12730564 16367868 18227853 19095846 22278487 24303804 28643769 36455706 38191692 44556974 57287538 66835461 72911412 89113948 114575076 133670922 200506383 267341844 401012766 802025532