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499981240 = 235117011621
BaseRepresentation
bin11101110011010…
…001101110111000
31021211210200022201
4131303101232320
52010443344430
6121340155544
715250525153
oct3563215670
91254720281
10499981240
11237254340
1211b538bb4
137c7796b5
144a58cc9a
152dd628ca
hex1dcd1bb8

499981240 has 64 divisors (see below), whose sum is σ = 1229735520. Its totient is φ = 181440000.

The previous prime is 499981217. The next prime is 499981243. The reversal of 499981240 is 42189994.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499981243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307630 + ... + 309250.

Almost surely, 2499981240 is an apocalyptic number.

499981240 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 499981240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614867760).

499981240 is an abundant number, since it is smaller than the sum of its proper divisors (729754280).

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

499981240 is a wasteful number, since it uses less digits than its factorization.

499981240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 499981240 is about 22360.2602847105. The cubic root of 499981240 is about 793.6905993120.

The spelling of 499981240 in words is "four hundred ninety-nine million, nine hundred eighty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 701 1402 1621 2804 3242 3505 5608 6484 7010 7711 8105 12968 14020 15422 16210 17831 28040 30844 32420 35662 38555 61688 64840 71324 77110 89155 142648 154220 178310 308440 356620 713240 1136321 2272642 4545284 5681605 9090568 11363210 12499531 22726420 24999062 45452840 49998124 62497655 99996248 124995310 249990620 499981240