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499558016 = 2737313337
BaseRepresentation
bin11101110001101…
…010011010000000
31021211000011202202
4131301222122000
52010341324031
6121323132332
715244113236
oct3561523200
91254004682
10499558016
11236a95371
1211b3740a8
137c65bb79
144a4bc956
152dccc2cb
hex1dc6a680

499558016 has 64 divisors (see below), whose sum is σ = 1028419080. Its totient is φ = 241532928.

The previous prime is 499557997. The next prime is 499558027. The reversal of 499558016 is 610855994.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 322561600 + 176996416 = 17960^2 + 13304^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4995580162 = 499116422699712512, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1482200 + ... + 1482536.

Almost surely, 2499558016 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 499558016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514209540).

499558016 is an abundant number, since it is smaller than the sum of its proper divisors (528861064).

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

499558016 is a wasteful number, since it uses less digits than its factorization.

499558016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 47.

The square root of 499558016 is about 22350.7945272646. The cubic root of 499558016 is about 793.4665884173.

The spelling of 499558016 in words is "four hundred ninety-nine million, five hundred fifty-eight thousand, sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 313 337 592 626 674 1184 1252 1348 2368 2504 2696 4736 5008 5392 10016 10784 11581 12469 20032 21568 23162 24938 40064 43136 46324 49876 92648 99752 105481 185296 199504 210962 370592 399008 421924 741184 798016 843848 1482368 1596032 1687696 3375392 3902797 6750784 7805594 13501568 15611188 31222376 62444752 124889504 249779008 499558016