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499052016 = 2435472731
BaseRepresentation
bin11101101111101…
…110110111110000
31021210001110200000
4131233232313300
52010224131031
6121304230000
715236605101
oct3557566760
91253043600
10499052016
1123677a191
1211b16b300
137c512768
144a3ca3a8
152dc2c3e6
hex1dbeedf0

499052016 has 120 divisors (see below), whose sum is σ = 1479738624. Its totient is φ = 162751680.

The previous prime is 499052011. The next prime is 499052027. The reversal of 499052016 is 610250994.

499052016 is a `hidden beast` number, since 49 + 90 + 520 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499052011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181371 + ... + 184101.

Almost surely, 2499052016 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 499052016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739869312).

499052016 is an abundant number, since it is smaller than the sum of its proper divisors (980686608).

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

499052016 is a wasteful number, since it uses less digits than its factorization.

499052016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 499052016 is about 22339.4721513289. The cubic root of 499052016 is about 793.1985983711.

The spelling of 499052016 in words is "four hundred ninety-nine million, fifty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 81 94 108 141 144 162 188 216 243 282 324 376 423 432 486 564 648 752 846 972 1128 1269 1296 1692 1944 2256 2538 2731 3384 3807 3888 5076 5462 6768 7614 8193 10152 10924 11421 15228 16386 20304 21848 22842 24579 30456 32772 43696 45684 49158 60912 65544 73737 91368 98316 128357 131088 147474 182736 196632 221211 256714 294948 385071 393264 442422 513428 589896 663633 770142 884844 1026856 1155213 1179792 1327266 1540284 1769688 2053712 2310426 2654532 3080568 3465639 3539376 4620852 5309064 6161136 6931278 9241704 10396917 10618128 13862556 18483408 20793834 27725112 31190751 41587668 55450224 62381502 83175336 124763004 166350672 249526008 499052016