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493424008 = 237113721649
BaseRepresentation
bin11101011010010…
…000110110001000
31021101110112111021
4131122100312020
52002304032013
6120543442224
715141014650
oct3532206610
91241415437
10493424008
11233585840
121192b6374
137b2c1b8c
1449763360
152d4b9a8d
hex1d690d88

493424008 has 64 divisors (see below), whose sum is σ = 1184688000. Its totient is φ = 187038720.

The previous prime is 493423999. The next prime is 493424027. The reversal of 493424008 is 800424394.

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, 11968 + ... + 33616.

It is an arithmetic number, because the mean of its divisors is an integer number (18510750).

Almost surely, 2493424008 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 493424008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592344000).

493424008 is an abundant number, since it is smaller than the sum of its proper divisors (691263992).

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

493424008 is a wasteful number, since it uses less digits than its factorization.

493424008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21710 (or 21706 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 493424008 is about 22213.1494390147. The cubic root of 493424008 is about 790.2055802102.

The spelling of 493424008 in words is "four hundred ninety-three million, four hundred twenty-four thousand, eight".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 56 74 77 88 148 154 259 296 308 407 518 616 814 1036 1628 2072 2849 3256 5698 11396 21649 22792 43298 86596 151543 173192 238139 303086 476278 606172 801013 952556 1212344 1602026 1666973 1905112 3204052 3333946 5607091 6408104 6667892 8811143 11214182 13335784 17622286 22428364 35244572 44856728 61678001 70489144 123356002 246712004 493424008