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4868599392 = 25338367891
BaseRepresentation
bin1001000100011000…
…01110111001100000
3110120022010110211000
410202030032321200
534432330140032
62123034552000
7231435261216
oct44214167140
913508113730
104868599392
112079219868
12b3a598600
135c7872757
14342858cb6
151d764ce7c
hex12230ee60

4868599392 has 96 divisors (see below), whose sum is σ = 14371378560. Its totient is φ = 1603290240.

The previous prime is 4868599391. The next prime is 4868599399. The reversal of 4868599392 is 2939958684.

4868599392 is a `hidden beast` number, since 4 + 8 + 6 + 8 + 599 + 39 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4868599391) 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 15 ways as a sum of consecutive naturals, for example, 37767 + ... + 105657.

It is an arithmetic number, because the mean of its divisors is an integer number (149701860).

Almost surely, 24868599392 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 4868599392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7185689280).

4868599392 is an abundant number, since it is smaller than the sum of its proper divisors (9502779168).

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

4868599392 is a wasteful number, since it uses less digits than its factorization.

4868599392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67993 (or 67979 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 63.

The square root of 4868599392 is about 69775.3494581002. The cubic root of 4868599392 is about 1694.8633173518.

The spelling of 4868599392 in words is "four billion, eight hundred sixty-eight million, five hundred ninety-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 83 96 108 144 166 216 249 288 332 432 498 664 747 864 996 1328 1494 1992 2241 2656 2988 3984 4482 5976 7968 8964 11952 17928 23904 35856 67891 71712 135782 203673 271564 407346 543128 611019 814692 1086256 1222038 1629384 1833057 2172512 2444076 3258768 3666114 4888152 5634953 6517536 7332228 9776304 11269906 14664456 16904859 19552608 22539812 29328912 33809718 45079624 50714577 58657824 67619436 90159248 101429154 135238872 152143731 180318496 202858308 270477744 304287462 405716616 540955488 608574924 811433232 1217149848 1622866464 2434299696 4868599392