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487820544 = 2833072069
BaseRepresentation
bin11101000100111…
…000110100000000
31020222220211222120
4131010320310000
51444340224134
6120223404240
715042256221
oct3504706400
91228824876
10487820544
112303a8882
12117453680
137a0ac513
1448b05248
152cc5e649
hex1d138d00

487820544 has 72 divisors (see below), whose sum is σ = 1303172640. Its totient is φ = 161998848.

The previous prime is 487820539. The next prime is 487820563. The reversal of 487820544 is 445028784.

It is a junction number, because it is equal to n+sod(n) for n = 487820496 and 487820505.

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 7 ways as a sum of consecutive naturals, for example, 234742 + ... + 236810.

It is an arithmetic number, because the mean of its divisors is an integer number (18099620).

Almost surely, 2487820544 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 487820544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651586320).

487820544 is an abundant number, since it is smaller than the sum of its proper divisors (815352096).

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

487820544 is a wasteful number, since it uses less digits than its factorization.

487820544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The square root of 487820544 is about 22086.6598651765. The cubic root of 487820544 is about 787.2029182257.

The spelling of 487820544 in words is "four hundred eighty-seven million, eight hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 307 384 614 768 921 1228 1842 2069 2456 3684 4138 4912 6207 7368 8276 9824 12414 14736 16552 19648 24828 29472 33104 39296 49656 58944 66208 78592 99312 117888 132416 198624 235776 264832 397248 529664 635183 794496 1270366 1588992 1905549 2540732 3811098 5081464 7622196 10162928 15244392 20325856 30488784 40651712 60977568 81303424 121955136 162606848 243910272 487820544