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492544 = 2101337
BaseRepresentation
bin1111000010000000000
3221000122101
41320100000
5111230134
614320144
74120663
oct1702000
9830571
10492544
11307068
121b9054
13143260
14cb6da
159ae14
hex78400

492544 has 44 divisors (see below), whose sum is σ = 1089004. Its totient is φ = 221184.

The previous prime is 492523. The next prime is 492551. The reversal of 492544 is 445294.

492544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 262144 + 230400 = 512^2 + 480^2 .

It is an unprimeable number.

492544 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13294 + ... + 13330.

2492544 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 492544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544502).

492544 is an abundant number, since it is smaller than the sum of its proper divisors (596460).

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

492544 is a wasteful number, since it uses less digits than its factorization.

492544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 52 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 492544 is about 701.8147903828. The cubic root of 492544 is about 78.9735530765.

The spelling of 492544 in words is "four hundred ninety-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 208 256 296 416 481 512 592 832 962 1024 1184 1664 1924 2368 3328 3848 4736 6656 7696 9472 13312 15392 18944 30784 37888 61568 123136 246272 492544