Search a number
-
+
8007901 = 112172229
BaseRepresentation
bin11110100011000011011101
3120001211202221
4132203003131
54022223101
6443345341
7125031436
oct36430335
916054687
108007901
11457a500
122822251
131874c05
1410c648d
15a82aa1
hex7a30dd

8007901 has 18 divisors (see below), whose sum is σ = 9391130. Its totient is φ = 6821760.

The previous prime is 8007871. The next prime is 8007917. The reversal of 8007901 is 1097008.

It can be written as a sum of positive squares in 3 ways, for example, as 5285401 + 2722500 = 2299^2 + 1650^2 .

It is not a de Polignac number, because 8007901 - 25 = 8007869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8007931) 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 17 ways as a sum of consecutive naturals, for example, 34855 + ... + 35083.

Almost surely, 28007901 is an apocalyptic number.

It is an amenable number.

8007901 is a deficient number, since it is larger than the sum of its proper divisors (1383229).

8007901 is a wasteful number, since it uses less digits than its factorization.

8007901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 8007901 is about 2829.8234927288. The cubic root of 8007901 is about 200.0658200029.

The spelling of 8007901 in words is "eight million, seven thousand, nine hundred one".

Divisors: 1 11 17 121 187 229 289 2057 2519 3179 3893 27709 34969 42823 66181 471053 727991 8007901