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495280 = 24541151
BaseRepresentation
bin1111000111010110000
3221011101201
41320322300
5111322110
614340544
74131652
oct1707260
9834351
10495280
11309125
121ba754
13144586
14cc6d2
159bb3a
hex78eb0

495280 has 40 divisors (see below), whose sum is σ = 1187424. Its totient is φ = 192000.

The previous prime is 495277. The next prime is 495289. The reversal of 495280 is 82594.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (495289) 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, 3205 + ... + 3355.

2495280 is an apocalyptic number.

495280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593712).

495280 is an abundant number, since it is smaller than the sum of its proper divisors (692144).

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

495280 is a wasteful number, since it uses less digits than its factorization.

495280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 495280 is about 703.7613231771. The cubic root of 495280 is about 79.1195114685.

Subtracting from 495280 its reverse (82594), we obtain a triangular number (412686 = T908).

It can be divided in two parts, 49 and 5280, that added together give a square (5329 = 732).

The spelling of 495280 in words is "four hundred ninety-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 151 164 205 302 328 410 604 656 755 820 1208 1510 1640 2416 3020 3280 6040 6191 12080 12382 24764 30955 49528 61910 99056 123820 247640 495280