Search a number
-
+
492408 = 23327977
BaseRepresentation
bin1111000001101111000
3221000110100
41320031320
5111224113
614315400
74120410
oct1701570
9830410
10492408
11306a54
121b8b60
13143187
14cb640
159ad73
hex78378

492408 has 48 divisors (see below), whose sum is σ = 1525680. Its totient is φ = 140544.

The previous prime is 492403. The next prime is 492409. The reversal of 492408 is 804294.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492403) by changing a digit.

492408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16 + ... + 992.

It is an arithmetic number, because the mean of its divisors is an integer number (31785).

2492408 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 492408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762840).

492408 is an abundant number, since it is smaller than the sum of its proper divisors (1033272).

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

492408 is a wasteful number, since it uses less digits than its factorization.

492408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 492408 is about 701.7178920335. The cubic root of 492408 is about 78.9662837483.

It can be divided in two parts, 492 and 408, that added together give a square (900 = 302).

The spelling of 492408 in words is "four hundred ninety-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 977 1954 2931 3908 5862 6839 7816 8793 11724 13678 17586 20517 23448 27356 35172 41034 54712 61551 70344 82068 123102 164136 246204 492408