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4400803640 = 235475214493
BaseRepresentation
bin1000001100100111…
…01110111100111000
3102100200212222200102
410012103232330320
533003101204030
62004404254532
7214025133212
oct40623567470
912320788612
104400803640
111959158a02
12a299a1448
13551984a2c
142da6875b2
151ab546c45
hex1064eef38

4400803640 has 64 divisors (see below), whose sum is σ = 10134149760. Its totient is φ = 1719178240.

The previous prime is 4400803639. The next prime is 4400803661. The reversal of 4400803640 is 463080044.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 977234 + ... + 981726.

It is an arithmetic number, because the mean of its divisors is an integer number (158346090).

Almost surely, 24400803640 is an apocalyptic number.

4400803640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4400803640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067074880).

4400803640 is an abundant number, since it is smaller than the sum of its proper divisors (5733346120).

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

4400803640 is a wasteful number, since it uses less digits than its factorization.

4400803640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5072 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 4400803640 is about 66338.5531949559. The cubic root of 4400803640 is about 1638.7422986654.

Adding to 4400803640 its reverse (463080044), we get a palindrome (4863883684).

The spelling of 4400803640 in words is "four billion, four hundred million, eight hundred three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 521 940 1042 1880 2084 2605 4168 4493 5210 8986 10420 17972 20840 22465 24487 35944 44930 48974 89860 97948 122435 179720 195896 211171 244870 422342 489740 844684 979480 1055855 1689368 2111710 2340853 4223420 4681706 8446840 9363412 11704265 18726824 23408530 46817060 93634120 110020091 220040182 440080364 550100455 880160728 1100200910 2200401820 4400803640