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499769920 = 26513196323
BaseRepresentation
bin11101110010011…
…110001001000000
31021211101221110001
4131302132021000
52010420114140
6121331445344
715245655106
oct3562361100
91254357401
10499769920
1123711a5a1
1211b456854
137c704460
144a535c76
152dd1ee9a
hex1dc9e240

499769920 has 112 divisors (see below), whose sum is σ = 1349288640. Its totient is φ = 174790656.

The previous prime is 499769911. The next prime is 499769953. The reversal of 499769920 is 29967994.

499769920 is a nontrivial binomial coefficient, being equal to C(31616, 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75879 + ... + 82201.

It is an arithmetic number, because the mean of its divisors is an integer number (12047220).

Almost surely, 2499769920 is an apocalyptic number.

499769920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

499769920 is the 31615-th triangular number and also the 15808-th hexagonal number.

499769920 is the 10539-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 499769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674644320).

499769920 is an abundant number, since it is smaller than the sum of its proper divisors (849518720).

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

499769920 is a wasteful number, since it uses less digits than its factorization.

499769920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6372 (or 6362 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 55.

The square root of 499769920 is about 22355.5344378076. The cubic root of 499769920 is about 793.5787642275.

The spelling of 499769920 in words is "four hundred ninety-nine million, seven hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 64 65 76 80 95 104 130 152 160 190 208 247 260 304 320 380 416 494 520 608 760 832 988 1040 1216 1235 1520 1976 2080 2470 3040 3952 4160 4940 6080 6323 7904 9880 12646 15808 19760 25292 31615 39520 50584 63230 79040 82199 101168 120137 126460 164398 202336 240274 252920 328796 404672 410995 480548 505840 600685 657592 821990 961096 1011680 1201370 1315184 1561781 1643980 1922192 2023360 2402740 2630368 3123562 3287960 3844384 4805480 5260736 6247124 6575920 7688768 7808905 9610960 12494248 13151840 15617810 19221920 24988496 26303680 31235620 38443840 49976992 62471240 99953984 124942480 249884960 499769920