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498240 = 26325173
BaseRepresentation
bin1111001101001000000
3221022110100
41321221000
5111420430
614402400
74143411
oct1715100
9838410
10498240
11310376
12200400
13145a22
14cd808
159c960
hex79a40

498240 has 84 divisors (see below), whose sum is σ = 1723644. Its totient is φ = 132096.

The previous prime is 498227. The next prime is 498257. The reversal of 498240 is 42894.

498240 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 331776 + 166464 = 576^2 + 408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2794 + ... + 2966.

2498240 is an apocalyptic number.

498240 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 498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861822).

498240 is an abundant number, since it is smaller than the sum of its proper divisors (1225404).

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

498240 is a wasteful number, since it uses less digits than its factorization.

498240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 498240 is about 705.8611761529. The cubic root of 498240 is about 79.2768155862.

The spelling of 498240 in words is "four hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 173 180 192 240 288 320 346 360 480 519 576 692 720 865 960 1038 1384 1440 1557 1730 2076 2595 2768 2880 3114 3460 4152 5190 5536 6228 6920 7785 8304 10380 11072 12456 13840 15570 16608 20760 24912 27680 31140 33216 41520 49824 55360 62280 83040 99648 124560 166080 249120 498240