Search a number
-
+
8003144 = 231000393
BaseRepresentation
bin11110100001111001001000
3120001121020202
4132201321020
54022100034
6443311332
7125011532
oct36417110
916047222
108003144
114576976
12281b548
1318729b6
1410c4852
15a8147e
hex7a1e48

8003144 has 8 divisors (see below), whose sum is σ = 15005910. Its totient is φ = 4001568.

The previous prime is 8003143. The next prime is 8003167. The reversal of 8003144 is 4413008.

It can be written as a sum of positive squares in only one way, i.e., 6708100 + 1295044 = 2590^2 + 1138^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8003143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500189 + ... + 500204.

Almost surely, 28003144 is an apocalyptic number.

It is an amenable number.

8003144 is a deficient number, since it is larger than the sum of its proper divisors (7002766).

8003144 is a wasteful number, since it uses less digits than its factorization.

8003144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000399 (or 1000395 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 8003144 is about 2828.9828560810. The cubic root of 8003144 is about 200.0261965685.

The spelling of 8003144 in words is "eight million, three thousand, one hundred forty-four".

Divisors: 1 2 4 8 1000393 2000786 4001572 8003144