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443113040 = 24529190997
BaseRepresentation
bin11010011010010…
…101111001010000
31010212210110211002
4122122111321100
51401414104130
6111545241132
713660253516
oct3232257120
91125713732
10443113040
11208142427
121044931a8
1370a58086
1442bc84b6
1528d7cb45
hex1a695e50

443113040 has 40 divisors (see below), whose sum is σ = 1065768840. Its totient is φ = 171132416.

The previous prime is 443112997. The next prime is 443113049. The reversal of 443113040 is 40311344.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 56911936 + 386201104 = 7544^2 + 19652^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443113049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93179 + ... + 97818.

It is an arithmetic number, because the mean of its divisors is an integer number (26644221).

Almost surely, 2443113040 is an apocalyptic number.

443113040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

443113040 is an abundant number, since it is smaller than the sum of its proper divisors (622655800).

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

443113040 is a wasteful number, since it uses less digits than its factorization.

443113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191039 (or 191033 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 443113040 is about 21050.2503548058. The cubic root of 443113040 is about 762.3800273485.

Adding to 443113040 its reverse (40311344), we get a palindrome (483424384).

It can be divided in two parts, 4431 and 13040, that added together give a palindrome (17471).

The spelling of 443113040 in words is "four hundred forty-three million, one hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 190997 381994 763988 954985 1527976 1909970 3055952 3819940 5538913 7639880 11077826 15279760 22155652 27694565 44311304 55389130 88622608 110778260 221556520 443113040