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8828972424 = 23324612577
BaseRepresentation
bin10000011100011111…
…10110110110001000
3211210022021021021200
420032033312312020
5121040204104144
64020031304200
7431535012246
oct101617666610
924708237250
108828972424
1138207a7728
12186497b060
13aa91cb34c
145da815796
1536a196c69
hex20e3f6d88

8828972424 has 72 divisors (see below), whose sum is σ = 24005313930. Its totient is φ = 2931517440.

The previous prime is 8828972413. The next prime is 8828972429. The reversal of 8828972424 is 4242798288.

8828972424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 8388728100 + 440244324 = 91590^2 + 20982^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8828972429) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 15301224 + ... + 15301800.

Almost surely, 28828972424 is an apocalyptic number.

It is an amenable number.

8828972424 is an abundant number, since it is smaller than the sum of its proper divisors (15176341506).

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

8828972424 is a wasteful number, since it uses less digits than its factorization.

8828972424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1043 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 8828972424 is about 93962.6118410935. The cubic root of 8828972424 is about 2066.8234805510.

The spelling of 8828972424 in words is "eight billion, eight hundred twenty-eight million, nine hundred seventy-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 461 577 922 1154 1383 1731 1844 2308 2766 3462 3688 4149 4616 5193 5532 6924 8298 10386 11064 13848 16596 20772 33192 41544 212521 265997 425042 531994 637563 797991 850084 1063988 1275126 1595982 1700168 1912689 2127976 2393973 2550252 3191964 3825378 4787946 5100504 6383928 7650756 9575892 15301512 19151784 122624617 245249234 367873851 490498468 735747702 980996936 1103621553 1471495404 2207243106 2942990808 4414486212 8828972424