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8004025 = 521737509
BaseRepresentation
bin11110100010000110111001
3120001122110101
4132202012321
54022112100
6443315401
7125014231
oct36420671
916048411
108004025
1145775a7
12281bb61
131873213
1410c4cc1
15a8186a
hex7a21b9

8004025 has 24 divisors (see below), whose sum is σ = 10814040. Its totient is φ = 5852160.

The previous prime is 8004013. The next prime is 8004047. The reversal of 8004025 is 5204008.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 784 + 8003241 = 28^2 + 2829^2 .

It is not a de Polignac number, because 8004025 - 219 = 7479737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8003993 and 8004011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15471 + ... + 15979.

It is an arithmetic number, because the mean of its divisors is an integer number (450585).

Almost surely, 28004025 is an apocalyptic number.

8004025 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8004025 is a deficient number, since it is larger than the sum of its proper divisors (2810015).

8004025 is a wasteful number, since it uses less digits than its factorization.

8004025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 8004025 is about 2829.1385614706. The cubic root of 8004025 is about 200.0335360430.

It can be divided in two parts, 80040 and 25, that multiplied together give a triangular number (2001000 = T2000).

The spelling of 8004025 in words is "eight million, four thousand, twenty-five".

Divisors: 1 5 17 25 37 85 185 425 509 629 925 2545 3145 8653 12725 15725 18833 43265 94165 216325 320161 470825 1600805 8004025