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4921365760 = 28526914293
BaseRepresentation
bin1001001010101011…
…00001010100000000
3110200222102021122221
410211111201110000
540034332201020
62132201540424
7232645630063
oct44525412400
913628367587
104921365760
1120a5a89a33
12b541a4714
1360578905c
143498728da
151dc0c26aa
hex125561500

4921365760 has 72 divisors (see below), whose sum is σ = 11832859080. Its totient is φ = 1961091072.

The previous prime is 4921365733. The next prime is 4921365763. The reversal of 4921365760 is 675631294.

It can be written as a sum of positive squares in 4 ways, for example, as 442008576 + 4479357184 = 21024^2 + 66928^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4921365763) by changing a digit.

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, 337174 + ... + 351466.

It is an arithmetic number, because the mean of its divisors is an integer number (164345265).

Almost surely, 24921365760 is an apocalyptic number.

4921365760 is a gapful number since it is divisible by the number (40) 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 4921365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5916429540).

4921365760 is an abundant number, since it is smaller than the sum of its proper divisors (6911493320).

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

4921365760 is a wasteful number, since it uses less digits than its factorization.

4921365760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14583 (or 14569 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The square root of 4921365760 is about 70152.4465717340. The cubic root of 4921365760 is about 1700.9643617227.

The spelling of 4921365760 in words is "four billion, nine hundred twenty-one million, three hundred sixty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 269 320 538 640 1076 1280 1345 2152 2690 4304 5380 8608 10760 14293 17216 21520 28586 34432 43040 57172 68864 71465 86080 114344 142930 172160 228688 285860 344320 457376 571720 914752 1143440 1829504 2286880 3659008 3844817 4573760 7689634 9147520 15379268 18295040 19224085 30758536 38448170 61517072 76896340 123034144 153792680 246068288 307585360 492136576 615170720 984273152 1230341440 2460682880 4921365760