Search a number
-
+
8287272 = 23367229
BaseRepresentation
bin11111100111010000101000
3120121001000000
4133213100220
54110143042
6453343000
7130304100
oct37472050
916531000
108287272
114750394
122937a60
131942116
14115a200
15ada74c
hex7e7428

8287272 has 168 divisors, whose sum is σ = 28035450. Its totient is φ = 2286144.

The previous prime is 8287271. The next prime is 8287273. The reversal of 8287272 is 2727828.

It can be divided in two parts, 82872 and 72, that added together give a square (82944 = 2882).

8287272 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8287271) and next prime (8287273).

It can be written as a sum of positive squares in only one way, i.e., 7001316 + 1285956 = 2646^2 + 1134^2 .

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8287271) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 285754 + ... + 285782.

Almost surely, 28287272 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 8287272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14017725).

8287272 is an abundant number, since it is smaller than the sum of its proper divisors (19748178).

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

8287272 is a wasteful number, since it uses less digits than its factorization.

8287272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 41 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 8287272 is about 2878.7622340166. The cubic root of 8287272 is about 202.3658370582.

The spelling of 8287272 in words is "eight million, two hundred eighty-seven thousand, two hundred seventy-two".