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4419331920 = 243352045987
BaseRepresentation
bin1000001110110100…
…11010011101010000
3102101222202022201000
410013122122131100
533022322110140
62010305342000
7214341462423
oct40732323520
912358668630
104419331920
111968663533
12a34037900
13555771303
142dcd0b9ba
151acea6a30
hex10769a750

4419331920 has 80 divisors (see below), whose sum is σ = 15222150720. Its totient is φ = 1178487936.

The previous prime is 4419331909. The next prime is 4419331921. The reversal of 4419331920 is 291339144.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4419331921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1020834 + ... + 1025153.

It is an arithmetic number, because the mean of its divisors is an integer number (190276884).

Almost surely, 24419331920 is an apocalyptic number.

4419331920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4419331920 is an abundant number, since it is smaller than the sum of its proper divisors (10802818800).

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

4419331920 is a wasteful number, since it uses less digits than its factorization.

4419331920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046009 (or 2045997 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 4419331920 is about 66478.0559282535. The cubic root of 4419331920 is about 1641.0388916249.

The spelling of 4419331920 in words is "four billion, four hundred nineteen million, three hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 2045987 4091974 6137961 8183948 10229935 12275922 16367896 18413883 20459870 24551844 30689805 32735792 36827766 40919740 49103688 55241649 61379610 73655532 81839480 92069415 98207376 110483298 122759220 147311064 163678960 184138830 220966596 245518440 276208245 294622128 368277660 441933192 491036880 552416490 736555320 883866384 1104832980 1473110640 2209665960 4419331920