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498224240 = 24537281599
BaseRepresentation
bin11101101100100…
…100110001110000
31021201111102011122
4131230210301300
52010021133430
6121234401412
715226556543
oct3554446160
91251442148
10498224240
11236264278
1211aa30268
137c2b2a57
144a25285a
152db16ee5
hex1db24c70

498224240 has 80 divisors (see below), whose sum is σ = 1195905600. Its totient is φ = 192890880.

The previous prime is 498224227. The next prime is 498224249. The reversal of 498224240 is 42422894.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 498224240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498224249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 831461 + ... + 832059.

It is an arithmetic number, because the mean of its divisors is an integer number (14948820).

Almost surely, 2498224240 is an apocalyptic number.

498224240 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 498224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597952800).

498224240 is an abundant number, since it is smaller than the sum of its proper divisors (697681360).

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

498224240 is a wasteful number, since it uses less digits than its factorization.

498224240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 498224240 is about 22320.9372563071. The cubic root of 498224240 is about 792.7597970003.

The spelling of 498224240 in words is "four hundred ninety-eight million, two hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 281 296 370 562 592 599 740 1124 1198 1405 1480 2248 2396 2810 2960 2995 4496 4792 5620 5990 9584 10397 11240 11980 20794 22163 22480 23960 41588 44326 47920 51985 83176 88652 103970 110815 166352 168319 177304 207940 221630 336638 354608 415880 443260 673276 831760 841595 886520 1346552 1683190 1773040 2693104 3366380 6227803 6732760 12455606 13465520 24911212 31139015 49822424 62278030 99644848 124556060 249112120 498224240