Search a number
-
+
8002275 = 352234639
BaseRepresentation
bin11110100001101011100011
3120001120001120
4132201223203
54022033100
6443303323
7125006151
oct36415343
916046046
108002275
114576256
12281ab43
131872498
1410c43d1
15a810a0
hex7a1ae3

8002275 has 24 divisors (see below), whose sum is σ = 13808640. Its totient is φ = 4081440.

The previous prime is 8002271. The next prime is 8002277. The reversal of 8002275 is 5722008.

It is not a de Polignac number, because 8002275 - 22 = 8002271 is a prime.

8002275 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8002271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 595 + ... + 4044.

It is an arithmetic number, because the mean of its divisors is an integer number (575360).

Almost surely, 28002275 is an apocalyptic number.

8002275 is a deficient number, since it is larger than the sum of its proper divisors (5806365).

8002275 is a wasteful number, since it uses less digits than its factorization.

8002275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675 (or 4670 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 8002275 is about 2828.8292631405. The cubic root of 8002275 is about 200.0189565365.

The spelling of 8002275 in words is "eight million, two thousand, two hundred seventy-five".

Divisors: 1 3 5 15 23 25 69 75 115 345 575 1725 4639 13917 23195 69585 106697 115975 320091 347925 533485 1600455 2667425 8002275