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8052576 = 253723521
BaseRepresentation
bin11110101101111101100000
3120011010001120
4132231331200
54030140301
6444332240
7125305620
oct36557540
916133046
108052576
114600024
122844080
13188c34c
1410d8880
15a90e36
hex7adf60

8052576 has 96 divisors (see below), whose sum is σ = 25256448. Its totient is φ = 2196480.

The previous prime is 8052521. The next prime is 8052587. The reversal of 8052576 is 6752508.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15196 + ... + 15716.

It is an arithmetic number, because the mean of its divisors is an integer number (263088).

Almost surely, 28052576 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 8052576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12628224).

8052576 is an abundant number, since it is smaller than the sum of its proper divisors (17203872).

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

8052576 is a wasteful number, since it uses less digits than its factorization.

8052576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 8052576 is about 2837.7061158619. The cubic root of 8052576 is about 200.4371770183.

It can be divided in two parts, 80525 and 76, that added together give a triangular number (80601 = T401).

The spelling of 8052576 in words is "eight million, fifty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 521 552 644 672 736 966 1042 1104 1288 1563 1932 2084 2208 2576 3126 3647 3864 4168 5152 6252 7294 7728 8336 10941 11983 12504 14588 15456 16672 21882 23966 25008 29176 35949 43764 47932 50016 58352 71898 83881 87528 95864 116704 143796 167762 175056 191728 251643 287592 335524 350112 383456 503286 575184 671048 1006572 1150368 1342096 2013144 2684192 4026288 8052576