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4428468768 = 253409112787
BaseRepresentation
bin1000001111111010…
…10001001000100000
3102102121221112002210
410013331101020200
533032142000033
62011233242120
7214512235443
oct40775211040
912377845083
104428468768
111972834149
12a37103340
13557620029
1430020965a
151adbadd63
hex107f51220

4428468768 has 48 divisors (see below), whose sum is σ = 11653256160. Its totient is φ = 1472534016.

The previous prime is 4428468767. The next prime is 4428468769. The reversal of 4428468768 is 8678648244.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4428468767) and next prime (4428468769).

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

It is a super-2 number, since 2×44284687682 = 39222671258302875648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4428468767) 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, 17130 + ... + 95657.

It is an arithmetic number, because the mean of its divisors is an integer number (242776170).

Almost surely, 24428468768 is an apocalyptic number.

4428468768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4428468768 is an abundant number, since it is smaller than the sum of its proper divisors (7224787392).

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

4428468768 is a wasteful number, since it uses less digits than its factorization.

4428468768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113209 (or 113201 counting only the distinct ones).

The product of its digits is 16515072, while the sum is 57.

The square root of 4428468768 is about 66546.7412275011. The cubic root of 4428468768 is about 1642.1690474843.

The spelling of 4428468768 in words is "four billion, four hundred twenty-eight million, four hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 409 818 1227 1636 2454 3272 4908 6544 9816 13088 19632 39264 112787 225574 338361 451148 676722 902296 1353444 1804592 2706888 3609184 5413776 10827552 46129883 92259766 138389649 184519532 276779298 369039064 553558596 738078128 1107117192 1476156256 2214234384 4428468768