Search a number
-
+
4286664 = 2332292053
BaseRepresentation
bin10000010110100011001000
322001210012100
4100112203020
52044133124
6231513400
751302364
oct20264310
98053170
104286664
1124686a8
121528860
13b711b5
147d82a4
1559a1c9
hex4168c8

4286664 has 48 divisors (see below), whose sum is σ = 12015900. Its totient is φ = 1378944.

The previous prime is 4286663. The next prime is 4286677. The reversal of 4286664 is 4666824.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4284900 + 1764 = 2070^2 + 42^2 .

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 (4286663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1062 + ... + 3114.

Almost surely, 24286664 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 4286664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6007950).

4286664 is an abundant number, since it is smaller than the sum of its proper divisors (7729236).

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

4286664 is a wasteful number, since it uses less digits than its factorization.

4286664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2087 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 4286664 is about 2070.4260431129. The cubic root of 4286664 is about 162.4450496649.

It can be divided in two parts, 4286 and 664, that added together give a triangular number (4950 = T99).

The spelling of 4286664 in words is "four million, two hundred eighty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2053 2088 4106 6159 8212 12318 16424 18477 24636 36954 49272 59537 73908 119074 147816 178611 238148 357222 476296 535833 714444 1071666 1428888 2143332 4286664