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4535900320 = 25577157041
BaseRepresentation
bin1000011100101110…
…00101100010100000
3102201010002121111011
410032113011202200
533242142302240
62030032030304
7220255342120
oct41627054240
912633077434
104535900320
111a18441056
12a67092394
135739662b3
143105b2c80
151b83306ea
hex10e5c58a0

4535900320 has 96 divisors (see below), whose sum is σ = 12419640576. Its totient is φ = 1533235200.

The previous prime is 4535900297. The next prime is 4535900351. The reversal of 4535900320 is 230095354.

It is a super-2 number, since 2×45359003202 = 41148783425952204800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 51000 + ... + 108040.

It is an arithmetic number, because the mean of its divisors is an integer number (129371256).

Almost surely, 24535900320 is an apocalyptic number.

4535900320 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 4535900320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6209820288).

4535900320 is an abundant number, since it is smaller than the sum of its proper divisors (7883740256).

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

4535900320 is a wasteful number, since it uses less digits than its factorization.

4535900320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57134 (or 57126 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The square root of 4535900320 is about 67349.0929411822. The cubic root of 4535900320 is about 1655.3423800978.

Adding to 4535900320 its reverse (230095354), we get a palindrome (4765995674).

The spelling of 4535900320 in words is "four billion, five hundred thirty-five million, nine hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 71 80 112 140 142 160 224 280 284 355 497 560 568 710 994 1120 1136 1420 1988 2272 2485 2840 3976 4970 5680 7952 9940 11360 15904 19880 39760 57041 79520 114082 228164 285205 399287 456328 570410 798574 912656 1140820 1597148 1825312 1996435 2281640 3194296 3992870 4049911 4563280 6388592 7985740 8099822 9126560 12777184 15971480 16199644 20249555 28349377 31942960 32399288 40499110 56698754 63885920 64798576 80998220 113397508 129597152 141746885 161996440 226795016 283493770 323992880 453590032 566987540 647985760 907180064 1133975080 2267950160 4535900320