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4000288028 = 2211594793217
BaseRepresentation
bin1110111001101111…
…1000110100011100
3101022210020200112212
43232123320310130
531143033204103
61500540015552
7201062613212
oct35633706434
911283220485
104000288028
111773070670
129378315b8
134b99c2849
1429d3cacb2
151862d07d8
hexee6f8d1c

4000288028 has 48 divisors (see below), whose sum is σ = 7784985600. Its totient is φ = 1783207680.

The previous prime is 4000288007. The next prime is 4000288031. The reversal of 4000288028 is 8208820004.

It is a junction number, because it is equal to n+sod(n) for n = 4000287985 and 4000288003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1241876 + ... + 1245092.

It is an arithmetic number, because the mean of its divisors is an integer number (162187200).

Almost surely, 24000288028 is an apocalyptic number.

It is an amenable number.

4000288028 is a deficient number, since it is larger than the sum of its proper divisors (3784697572).

4000288028 is a wasteful number, since it uses less digits than its factorization.

4000288028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 4000288028 is about 63247.8302236527. The cubic root of 4000288028 is about 1587.4391523829.

The spelling of 4000288028 in words is "four billion, two hundred eighty-eight thousand, twenty-eight".

Divisors: 1 2 4 11 22 44 59 118 236 479 649 958 1298 1916 2596 3217 5269 6434 10538 12868 21076 28261 35387 56522 70774 113044 141548 189803 310871 379606 621742 759212 1243484 1540943 2087833 3081886 4175666 6163772 8351332 16950373 33900746 67801492 90915637 181831274 363662548 1000072007 2000144014 4000288028