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558890442 = 23411476673
BaseRepresentation
bin100001010011111…
…111110111001010
31102221122120120000
4201103333313022
52121033443232
6131242543430
716564330125
oct4123776712
91387576500
10558890442
1126752a730
12137207b76
138ba34006
14543253bc
15340ec27c
hex214ffdca

558890442 has 80 divisors (see below), whose sum is σ = 1395453312. Its totient is φ = 165732480.

The previous prime is 558890441. The next prime is 558890443. The reversal of 558890442 is 244098855.

558890442 is a `hidden beast` number, since 558 + 8 + 90 + 4 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (558890441) and next prime (558890443).

It is not an unprimeable number, because it can be changed into a prime (558890441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80418 + ... + 87090.

Almost surely, 2558890442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 558890442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697726656).

558890442 is an abundant number, since it is smaller than the sum of its proper divisors (836562870).

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

558890442 is a wasteful number, since it uses less digits than its factorization.

558890442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6745 (or 6736 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 558890442 is about 23640.8638167052. The cubic root of 558890442 is about 823.7123184715.

The spelling of 558890442 in words is "five hundred fifty-eight million, eight hundred ninety thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 81 94 99 141 162 198 282 297 423 517 594 846 891 1034 1269 1551 1782 2538 3102 3807 4653 6673 7614 9306 13346 13959 20019 27918 40038 41877 60057 73403 83754 120114 146806 180171 220209 313631 360342 440418 540513 627262 660627 940893 1081026 1321254 1881786 1981881 2822679 3449941 3963762 5645358 5945643 6899882 8468037 10349823 11891286 16936074 20699646 25404111 31049469 50808222 62098938 93148407 186296814 279445221 558890442