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487950768 = 24325979727
BaseRepresentation
bin11101000101011…
…000100110110000
31021000011110121200
4131011120212300
51444403411033
6120230251200
715043340664
oct3505304660
91230143550
10487950768
112304876a8
121174b6b00
137a126886
1448b3a8a4
152cc88013
hex1d1589b0

487950768 has 120 divisors (see below), whose sum is σ = 1408243200. Its totient is φ = 157652352.

The previous prime is 487950763. The next prime is 487950821. The reversal of 487950768 is 867059784.

487950768 is a `hidden beast` number, since 4 + 8 + 79 + 507 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (487950763) by changing a digit.

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, 670821 + ... + 671547.

It is an arithmetic number, because the mean of its divisors is an integer number (11735360).

Almost surely, 2487950768 is an apocalyptic number.

487950768 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 487950768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704121600).

487950768 is an abundant number, since it is smaller than the sum of its proper divisors (920292432).

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

487950768 is a wasteful number, since it uses less digits than its factorization.

487950768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 487950768 is about 22089.6076923064. The cubic root of 487950768 is about 787.2729600976.

The spelling of 487950768 in words is "four hundred eighty-seven million, nine hundred fifty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 79 118 144 158 177 236 237 316 354 472 474 531 632 708 711 727 944 948 1062 1264 1416 1422 1454 1896 2124 2181 2832 2844 2908 3792 4248 4362 4661 5688 5816 6543 8496 8724 9322 11376 11632 13086 13983 17448 18644 26172 27966 34896 37288 41949 42893 52344 55932 57433 74576 83898 85786 104688 111864 114866 128679 167796 171572 172299 223728 229732 257358 335592 343144 344598 386037 459464 514716 516897 671184 686288 689196 772074 918928 1029432 1033794 1378392 1544148 2058864 2067588 2756784 3088296 3388547 4135176 6176592 6777094 8270352 10165641 13554188 20331282 27108376 30496923 40662564 54216752 60993846 81325128 121987692 162650256 243975384 487950768