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4252456 = 2313311319
BaseRepresentation
bin10000001110001100101000
322000001021101
4100032030220
52042034311
6231051144
751100555
oct20161450
98001241
104252456
112444a2a
121510ab4
13b5b760
147c9a2c
1558eec1
hex40e328

4252456 has 32 divisors (see below), whose sum is σ = 8870400. Its totient is φ = 1897920.

The previous prime is 4252439. The next prime is 4252459. The reversal of 4252456 is 6542524.

4252456 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4252459) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2565 + ... + 3883.

It is an arithmetic number, because the mean of its divisors is an integer number (277200).

Almost surely, 24252456 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 4252456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435200).

4252456 is an abundant number, since it is smaller than the sum of its proper divisors (4617944).

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

4252456 is a wasteful number, since it uses less digits than its factorization.

4252456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1365 counting only the distinct ones).

The product of its digits is 9600, while the sum is 28.

The square root of 4252456 is about 2062.1483942723. The cubic root of 4252456 is about 162.0117859636.

The spelling of 4252456 in words is "four million, two hundred fifty-two thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 806 1319 1612 2638 3224 5276 10552 17147 34294 40889 68588 81778 137176 163556 327112 531557 1063114 2126228 4252456