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487835136 = 29361307
BaseRepresentation
bin11101000100111…
…100011000000000
31020222221121000000
4131010330120000
51444341211021
6120224000000
715042346605
oct3504743000
91228847000
10487835136
11230408838
12117460000
137a0b6059
1448b0a6ac
152cc63b26
hex1d13c600

487835136 has 140 divisors (see below), whose sum is σ = 1462525812. Its totient is φ = 162487296.

The previous prime is 487835123. The next prime is 487835141. The reversal of 487835136 is 631538784.

487835136 is a `hidden beast` number, since 487 + 8 + 35 + 136 = 666.

It is a super-2 number, since 2×4878351362 = 475966239832276992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 487835091 and 487835100.

It is a congruent number.

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 13 ways as a sum of consecutive naturals, for example, 372595 + ... + 373901.

Almost surely, 2487835136 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 487835136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731262906).

487835136 is an abundant number, since it is smaller than the sum of its proper divisors (974690676).

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

487835136 is an frugal number, since it uses more digits than its factorization.

487835136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1312 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 487835136 is about 22086.9901978518. The cubic root of 487835136 is about 787.2107672531.

The spelling of 487835136 in words is "four hundred eighty-seven million, eight hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1307 1458 1536 1728 1944 2304 2592 2614 2916 3456 3888 3921 4608 5184 5228 5832 6912 7776 7842 10368 10456 11664 11763 13824 15552 15684 20736 20912 23328 23526 31104 31368 35289 41472 41824 46656 47052 62208 62736 70578 83648 93312 94104 105867 124416 125472 141156 167296 186624 188208 211734 250944 282312 317601 334592 373248 376416 423468 501888 564624 635202 669184 752832 846936 952803 1003776 1129248 1270404 1505664 1693872 1905606 2007552 2258496 2540808 3011328 3387744 3811212 4516992 5081616 6022656 6775488 7622424 9033984 10163232 13550976 15244848 18067968 20326464 27101952 30489696 40652928 54203904 60979392 81305856 121958784 162611712 243917568 487835136