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8025528 = 2337233167
BaseRepresentation
bin11110100111010110111000
3120002201221210
4132213112320
54023304103
6444003120
7125134020
oct36472670
916081853
108025528
114591775
1228304a0
13187cc44
1410cca80
15a87e03
hex7a75b8

8025528 has 128 divisors (see below), whose sum is σ = 25067520. Its totient is φ = 2090880.

The previous prime is 8025527. The next prime is 8025533. The reversal of 8025528 is 8255208.

It is a junction number, because it is equal to n+sod(n) for n = 8025495 and 8025504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8025527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119751 + ... + 119817.

It is an arithmetic number, because the mean of its divisors is an integer number (195840).

Almost surely, 28025528 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 8025528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12533760).

8025528 is an abundant number, since it is smaller than the sum of its proper divisors (17041992).

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

8025528 is a wasteful number, since it uses less digits than its factorization.

8025528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 8025528 is about 2832.9362859055. The cubic root of 8025528 is about 200.2125074563.

The spelling of 8025528 in words is "eight million, twenty-five thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 31 42 46 56 62 67 69 84 92 93 124 134 138 161 168 184 186 201 217 248 268 276 322 372 402 434 469 483 536 552 644 651 713 744 804 868 938 966 1288 1302 1407 1426 1541 1608 1736 1876 1932 2077 2139 2604 2814 2852 3082 3752 3864 4154 4278 4623 4991 5208 5628 5704 6164 6231 8308 8556 9246 9982 10787 11256 12328 12462 14539 14973 16616 17112 18492 19964 21574 24924 29078 29946 32361 36984 39928 43148 43617 47771 49848 58156 59892 64722 86296 87234 95542 116312 119784 129444 143313 174468 191084 258888 286626 334397 348936 382168 573252 668794 1003191 1146504 1337588 2006382 2675176 4012764 8025528