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557921640 = 2335171811511
BaseRepresentation
bin100001010000010…
…011010101101000
31102212211100121110
4201100103111220
52120311443030
6131210110320
716553153463
oct4120232550
91385740543
10557921640
11266a28871
12136a1b3a0
138b785063
14541522da
1533eaa1b0
hex21413568

557921640 has 128 divisors (see below), whose sum is σ = 1783192320. Its totient is φ = 139161600.

The previous prime is 557921597. The next prime is 557921653. The reversal of 557921640 is 46129755.

It is a super-2 number, since 2×5579216402 = 622553112760579200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 368485 + ... + 369995.

It is an arithmetic number, because the mean of its divisors is an integer number (13931190).

Almost surely, 2557921640 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 557921640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891596160).

557921640 is an abundant number, since it is smaller than the sum of its proper divisors (1225270680).

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

557921640 is a wasteful number, since it uses less digits than its factorization.

557921640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 557921640 is about 23620.3649421426. The cubic root of 557921640 is about 823.2360917498.

The spelling of 557921640 in words is "five hundred fifty-seven million, nine hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 181 204 255 340 362 408 510 543 680 724 905 1020 1086 1448 1511 1810 2040 2172 2715 3022 3077 3620 4344 4533 5430 6044 6154 7240 7555 9066 9231 10860 12088 12308 15110 15385 18132 18462 21720 22665 24616 25687 30220 30770 36264 36924 45330 46155 51374 60440 61540 73848 77061 90660 92310 102748 123080 128435 154122 181320 184620 205496 256870 273491 308244 369240 385305 513740 546982 616488 770610 820473 1027480 1093964 1367455 1541220 1640946 2187928 2734910 3082440 3281892 4102365 4649347 5469820 6563784 8204730 9298694 10939640 13948041 16409460 18597388 23246735 27896082 32818920 37194776 46493470 55792164 69740205 92986940 111584328 139480410 185973880 278960820 557921640