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4262438304 = 2532107138319
BaseRepresentation
bin1111111000001111…
…1010010110100000
3102000001112022010100
43332003322112200
532212141011204
61542542502400
7210425061555
oct37603722640
912001468110
104262438304
111898042a93
129ab594a00
1352c0ca757
142c614aa2c
1519e314a39
hexfe0fa5a0

4262438304 has 72 divisors (see below), whose sum is σ = 12234680640. Its totient is φ = 1407523968.

The previous prime is 4262438293. The next prime is 4262438317. The reversal of 4262438304 is 4038342624.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38344 + ... + 99975.

It is an arithmetic number, because the mean of its divisors is an integer number (169926120).

Almost surely, 24262438304 is an apocalyptic number.

It is an amenable number.

4262438304 is an abundant number, since it is smaller than the sum of its proper divisors (7972242336).

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

4262438304 is a wasteful number, since it uses less digits than its factorization.

4262438304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138442 (or 138431 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 4262438304 is about 65287.3517919053. The cubic root of 4262438304 is about 1621.3845684830.

The spelling of 4262438304 in words is "four billion, two hundred sixty-two million, four hundred thirty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 642 856 963 1284 1712 1926 2568 3424 3852 5136 7704 10272 15408 30816 138319 276638 414957 553276 829914 1106552 1244871 1659828 2213104 2489742 3319656 4426208 4979484 6639312 9958968 13278624 14800133 19917936 29600266 39835872 44400399 59200532 88800798 118401064 133201197 177601596 236802128 266402394 355203192 473604256 532804788 710406384 1065609576 1420812768 2131219152 4262438304