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558842416 = 241129310837
BaseRepresentation
bin100001010011110…
…100001000110000
31102221120010200021
4201103310020300
52121030424131
6131241533224
716564040116
oct4123641060
91387503607
10558842416
112674a7640
121371a4214
138ba181b2
1454311ab6
15340dce11
hex214f4230

558842416 has 40 divisors (see below), whose sum is σ = 1185330384. Its totient is φ = 253128960.

The previous prime is 558842399. The next prime is 558842437. The reversal of 558842416 is 614248855.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46150 + ... + 56986.

Almost surely, 2558842416 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 558842416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592665192).

558842416 is an abundant number, since it is smaller than the sum of its proper divisors (626487968).

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

558842416 is a wasteful number, since it uses less digits than its factorization.

558842416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11149 (or 11143 counting only the distinct ones).

The product of its digits is 307200, while the sum is 43.

The square root of 558842416 is about 23639.8480536572. The cubic root of 558842416 is about 823.6887236617.

The spelling of 558842416 in words is "five hundred fifty-eight million, eight hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 176 293 586 1172 2344 3223 4688 6446 10837 12892 21674 25784 43348 51568 86696 119207 173392 238414 476828 953656 1907312 3175241 6350482 12700964 25401928 34927651 50803856 69855302 139710604 279421208 558842416