Search a number
-
+
496938 = 231323277
BaseRepresentation
bin1111001010100101010
3221020200010
41321110222
5111400223
614352350
74136541
oct1712452
9836603
10496938
1130a3a2
121bb6b6
13145260
14cd158
159c393
hex7952a

496938 has 32 divisors (see below), whose sum is σ = 1120896. Its totient is φ = 145728.

The previous prime is 496919. The next prime is 496949. The reversal of 496938 is 839694.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 496896 and 496905.

It is an unprimeable number.

496938 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 15 ways as a sum of consecutive naturals, for example, 1656 + ... + 1932.

It is an arithmetic number, because the mean of its divisors is an integer number (35028).

2496938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560448).

496938 is an abundant number, since it is smaller than the sum of its proper divisors (623958).

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

496938 is a wasteful number, since it uses less digits than its factorization.

496938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318.

The product of its digits is 46656, while the sum is 39.

The square root of 496938 is about 704.9382951720. The cubic root of 496938 is about 79.2076999962.

The spelling of 496938 in words is "four hundred ninety-six thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 277 299 554 598 831 897 1662 1794 3601 6371 7202 10803 12742 19113 21606 38226 82823 165646 248469 496938