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4419824928 = 253411122923
BaseRepresentation
bin1000001110111000…
…10010110100100000
3102102000200100222120
410013130102310200
533022433344203
62010324104240
7214345614651
oct40734226440
912360610876
104419824928
11196896a982
12a34235080
135558b482c
142dcdd9528
151ad052b53
hex107712d20

4419824928 has 48 divisors (see below), whose sum is σ = 11885027616. Its totient is φ = 1437340160.

The previous prime is 4419824921. The next prime is 4419824939. The reversal of 4419824928 is 8294289144.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (4419824921) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 557526 + ... + 565397.

It is an arithmetic number, because the mean of its divisors is an integer number (247604742).

Almost surely, 24419824928 is an apocalyptic number.

4419824928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4419824928 is an abundant number, since it is smaller than the sum of its proper divisors (7465202688).

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

4419824928 is a wasteful number, since it uses less digits than its factorization.

4419824928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122977 (or 1122969 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The square root of 4419824928 is about 66481.7638755170. The cubic root of 4419824928 is about 1641.0999125540.

The spelling of 4419824928 in words is "four billion, four hundred nineteen million, eight hundred twenty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 1122923 2245846 3368769 4491692 6737538 8983384 13475076 17966768 26950152 35933536 46039843 53900304 92079686 107800608 138119529 184159372 276239058 368318744 552478116 736637488 1104956232 1473274976 2209912464 4419824928