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499953384 = 23347195801
BaseRepresentation
bin11101110011001…
…010111011101000
31021211202021010000
4131303022323220
52010442002014
6121335423000
715250351020
oct3563127350
91254667100
10499953384
11237235417
1211b524a60
137c769b08
144a582a80
152dd59509
hex1dccaee8

499953384 has 160 divisors (see below), whose sum is σ = 1684900800. Its totient is φ = 135302400.

The previous prime is 499953383. The next prime is 499953431. The reversal of 499953384 is 483359994.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4199040) is a multiple of the sum of its prime divisors (5832).

It is a self number, because there is not a number n which added to its sum of digits gives 499953384.

It is not an unprimeable number, because it can be changed into a prime (499953383) 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 39 ways as a sum of consecutive naturals, for example, 83284 + ... + 89084.

It is an arithmetic number, because the mean of its divisors is an integer number (10530630).

Almost surely, 2499953384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 499953384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842450400).

499953384 is an abundant number, since it is smaller than the sum of its proper divisors (1184947416).

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

499953384 is a wasteful number, since it uses less digits than its factorization.

499953384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5845 (or 5832 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 499953384 is about 22359.6373852529. The cubic root of 499953384 is about 793.6758591217.

The spelling of 499953384 in words is "four hundred ninety-nine million, nine hundred fifty-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 81 84 108 114 126 133 152 162 168 171 189 216 228 252 266 324 342 378 399 456 504 513 532 567 648 684 756 798 1026 1064 1134 1197 1368 1512 1539 1596 2052 2268 2394 3078 3192 3591 4104 4536 4788 5801 6156 7182 9576 10773 11602 12312 14364 17403 21546 23204 28728 34806 40607 43092 46408 52209 69612 81214 86184 104418 110219 121821 139224 156627 162428 208836 220438 243642 313254 324856 330657 365463 417672 440876 469881 487284 626508 661314 730926 771533 881752 939762 974568 991971 1096389 1253016 1322628 1461852 1543066 1879524 1983942 2192778 2314599 2645256 2923704 2975913 3086132 3289167 3759048 3967884 4385556 4629198 5951826 6172264 6578334 6943797 7935768 8771112 8927739 9258396 11903652 13156668 13887594 17855478 18516792 20831391 23807304 26313336 27775188 35710956 41662782 55550376 62494173 71421912 83325564 124988346 166651128 249976692 499953384