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8052528 = 24311101151
BaseRepresentation
bin11110101101111100110000
3120011002222210
4132231330300
54030140103
6444332120
7125305521
oct36557460
916132883
108052528
1145aaa90
122844040
13188c313
1410d8848
15a90e03
hex7adf30

8052528 has 80 divisors (see below), whose sum is σ = 23069952. Its totient is φ = 2400000.

The previous prime is 8052521. The next prime is 8052587. The reversal of 8052528 is 8252508.

It is a junction number, because it is equal to n+sod(n) for n = 8052495 and 8052504.

It is not an unprimeable number, because it can be changed into a prime (8052521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53253 + ... + 53403.

Almost surely, 28052528 is an apocalyptic number.

8052528 is a gapful number since it is divisible by the number (88) 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 8052528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11534976).

8052528 is an abundant number, since it is smaller than the sum of its proper divisors (15017424).

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

8052528 is a wasteful number, since it uses less digits than its factorization.

8052528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 268 counting only the distinct ones).

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

The square root of 8052528 is about 2837.6976583139. The cubic root of 8052528 is about 200.4367787605.

It can be divided in two parts, 805 and 2528, that added together give a palindrome (3333).

The spelling of 8052528 in words is "eight million, fifty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 151 176 202 264 302 303 404 453 528 604 606 808 906 1111 1208 1212 1616 1661 1812 2222 2416 2424 3322 3333 3624 4444 4848 4983 6644 6666 7248 8888 9966 13288 13332 15251 17776 19932 26576 26664 30502 39864 45753 53328 61004 79728 91506 122008 167761 183012 244016 335522 366024 503283 671044 732048 1006566 1342088 2013132 2684176 4026264 8052528