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8025696 = 253371327
BaseRepresentation
bin11110100111011001100000
3120002202012000
4132213121200
54023310241
6444004000
7125134350
oct36473140
916082160
108025696
114591908
122830600
131880043
1410ccb60
15a87eb6
hex7a7660

8025696 has 96 divisors (see below), whose sum is σ = 26772480. Its totient is φ = 2291328.

The previous prime is 8025691. The next prime is 8025697. The reversal of 8025696 is 6965208.

8025696 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 8025696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8025691) 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, 5385 + ... + 6711.

It is an arithmetic number, because the mean of its divisors is an integer number (278880).

Almost surely, 28025696 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 8025696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13386240).

8025696 is an abundant number, since it is smaller than the sum of its proper divisors (18746784).

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

8025696 is a wasteful number, since it uses less digits than its factorization.

8025696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 8025696 is about 2832.9659369643. The cubic root of 8025696 is about 200.2139044761.

The spelling of 8025696 in words is "eight million, twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1327 1512 2016 2654 3024 3981 5308 6048 7962 9289 10616 11943 15924 18578 21232 23886 27867 31848 35829 37156 42464 47772 55734 63696 71658 74312 83601 95544 111468 127392 143316 148624 167202 191088 222936 250803 286632 297248 334404 382176 445872 501606 573264 668808 891744 1003212 1146528 1337616 2006424 2675232 4012848 8025696