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558038416 = 241329711303
BaseRepresentation
bin100001010000101…
…111110110010000
31102220001021210111
4201100233312100
52120324212131
6131212411104
716554151105
oct4120576620
91386037714
10558038416
11266aa8581
12136a76a94
138b7c6260
1454182aac
1533eceab1
hex2142fd90

558038416 has 80 divisors (see below), whose sum is σ = 1222421760. Its totient is φ = 244984320.

The previous prime is 558038399. The next prime is 558038441. The reversal of 558038416 is 614830855.

It is a super-2 number, since 2×5580384162 = 622813747463578112, 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 15 ways as a sum of consecutive naturals, for example, 427621 + ... + 428923.

It is an arithmetic number, because the mean of its divisors is an integer number (15280272).

Almost surely, 2558038416 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 558038416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611210880).

558038416 is an abundant number, since it is smaller than the sum of its proper divisors (664383344).

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

558038416 is a wasteful number, since it uses less digits than its factorization.

558038416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 558038416 is about 23622.8367475204. The cubic root of 558038416 is about 823.2935236570.

The spelling of 558038416 in words is "five hundred fifty-eight million, thirty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 29 52 58 71 104 116 142 208 232 284 377 464 568 754 923 1136 1303 1508 1846 2059 2606 3016 3692 4118 5212 6032 7384 8236 10424 14768 16472 16939 20848 26767 32944 33878 37787 53534 67756 75574 92513 107068 135512 151148 185026 214136 271024 302296 370052 428272 491231 604592 740104 982462 1202669 1480208 1964924 2405338 2682877 3929848 4810676 5365754 7859696 9621352 10731508 19242704 21463016 34877401 42926032 69754802 139509604 279019208 558038416