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497056 = 2572317
BaseRepresentation
bin1111001010110100000
3221020211111
41321112200
5111401211
614353104
74140100
oct1712640
9836744
10497056
1130a49a
121bb794
13145321
14cd200
159c421
hex795a0

497056 has 36 divisors (see below), whose sum is σ = 1141938. Its totient is φ = 212352.

The previous prime is 497051. The next prime is 497069. The reversal of 497056 is 650794.

It can be written as a sum of positive squares in only one way, i.e., 490000 + 7056 = 700^2 + 84^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (497051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1410 + ... + 1726.

2497056 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 497056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570969).

497056 is an abundant number, since it is smaller than the sum of its proper divisors (644882).

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

497056 is a wasteful number, since it uses less digits than its factorization.

497056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 497056 is about 705.0219854728. The cubic root of 497056 is about 79.2139688996.

Subtracting from 497056 its sum of digits (31), we obtain a square (497025 = 7052).

It can be divided in two parts, 49 and 7056, that multiplied together give a square (345744 = 5882).

The spelling of 497056 in words is "four hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 317 392 634 784 1268 1568 2219 2536 4438 5072 8876 10144 15533 17752 31066 35504 62132 71008 124264 248528 497056