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498640 = 24523271
BaseRepresentation
bin1111001101111010000
3221100000011
41321233100
5111424030
614404304
74144522
oct1715720
9840004
10498640
113106aa
12200694
13145c6c
14cda12
159cb2a
hex79bd0

498640 has 40 divisors (see below), whose sum is σ = 1214208. Its totient is φ = 190080.

The previous prime is 498613. The next prime is 498643. The reversal of 498640 is 46894.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498643) by changing a digit.

498640 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1705 + ... + 1975.

2498640 is an apocalyptic number.

498640 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 498640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607104).

498640 is an abundant number, since it is smaller than the sum of its proper divisors (715568).

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

498640 is a wasteful number, since it uses less digits than its factorization.

498640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 498640 is about 706.1444611409. The cubic root of 498640 is about 79.2980250729.

The spelling of 498640 in words is "four hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 271 368 460 542 920 1084 1355 1840 2168 2710 4336 5420 6233 10840 12466 21680 24932 31165 49864 62330 99728 124660 249320 498640