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557671842 = 2327213172861
BaseRepresentation
bin100001001111010…
…110010110100010
31102212100122221200
4201033112112202
52120230444332
6131200502030
716551063300
oct4117262642
91385318850
10557671842
11266878122
1213691a916
138b6c8450
14540c9270
1533e5b17c
hex213d65a2

557671842 has 144 divisors (see below), whose sum is σ = 1603280952. Its totient is φ = 138378240.

The previous prime is 557671817. The next prime is 557671853. The reversal of 557671842 is 248176755.

557671842 is a `hidden beast` number, since 5 + 576 + 71 + 8 + 4 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 468765801 + 88906041 = 21651^2 + 9429^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 193492 + ... + 196352.

Almost surely, 2557671842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557671842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801640476).

557671842 is an abundant number, since it is smaller than the sum of its proper divisors (1045609110).

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

557671842 is a wasteful number, since it uses less digits than its factorization.

557671842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913 (or 2903 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 557671842 is about 23615.0765825563. The cubic root of 557671842 is about 823.1132110363.

The spelling of 557671842 in words is "five hundred fifty-seven million, six hundred seventy-one thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 34 39 42 49 51 63 78 91 98 102 117 119 126 147 153 182 221 234 238 273 294 306 357 441 442 546 637 663 714 819 833 882 1071 1274 1326 1547 1638 1666 1911 1989 2142 2499 2861 3094 3822 3978 4641 4998 5722 5733 7497 8583 9282 10829 11466 13923 14994 17166 20027 21658 25749 27846 32487 37193 40054 48637 51498 60081 64974 74386 97274 97461 111579 120162 140189 145911 180243 194922 223158 260351 280378 291822 334737 340459 360486 420567 437733 520702 632281 669474 680918 781053 841134 875466 1021377 1261701 1264562 1562106 1822457 1896843 2042754 2343159 2383213 2523402 3064131 3644914 3793686 4425967 4686318 4766426 5467371 5690529 6128262 7149639 8851934 10934742 11381058 13277901 14299278 16402113 21448917 26555802 30981769 32804226 39833703 42897834 61963538 79667406 92945307 185890614 278835921 557671842