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487333728 = 25327534561
BaseRepresentation
bin11101000011000…
…001111101100000
31020222000010012100
4131003001331200
51444224134403
6120205130400
715035161020
oct3503017540
91228003170
10487333728
112300a6052
12117259a00
1379c6ba6b
1448a19a80
152cbb52a3
hex1d0c1f60

487333728 has 144 divisors (see below), whose sum is σ = 1614072096. Its totient is φ = 136581120.

The previous prime is 487333709. The next prime is 487333783. The reversal of 487333728 is 827333784.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104568 + ... + 109128.

It is an arithmetic number, because the mean of its divisors is an integer number (11208834).

Almost surely, 2487333728 is an apocalyptic number.

487333728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 487333728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807036048).

487333728 is an abundant number, since it is smaller than the sum of its proper divisors (1126738368).

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

487333728 is a wasteful number, since it uses less digits than its factorization.

487333728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4637 (or 4626 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 487333728 is about 22075.6365253643. The cubic root of 487333728 is about 786.9409704464.

The spelling of 487333728 in words is "four hundred eighty-seven million, three hundred thirty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 53 56 63 72 84 96 106 112 126 144 159 168 212 224 252 288 318 336 371 424 477 504 636 672 742 848 954 1008 1113 1272 1484 1696 1908 2016 2226 2544 2968 3339 3816 4452 4561 5088 5936 6678 7632 8904 9122 11872 13356 13683 15264 17808 18244 26712 27366 31927 35616 36488 41049 53424 54732 63854 72976 82098 95781 106848 109464 127708 145952 164196 191562 218928 241733 255416 287343 328392 383124 437856 483466 510832 574686 656784 725199 766248 966932 1021664 1149372 1313568 1450398 1532496 1692131 1933864 2175597 2298744 2900796 3064992 3384262 3867728 4351194 4597488 5076393 5801592 6768524 7735456 8702388 9194976 10152786 11603184 13537048 15229179 17404776 20305572 23206368 27074096 30458358 34809552 40611144 54148192 60916716 69619104 81222288 121833432 162444576 243666864 487333728