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4493543040 = 27345722961
BaseRepresentation
bin1000010111101011…
…00000011010000000
3102121011101122020000
410023311200122000
533200321334130
62021520120000
7216232325400
oct41365403200
912534348200
104493543040
1119a6540438
12a54a66000
13567c5580c
14308b08800
151b4765260
hex10bd60680

4493543040 has 960 divisors, whose sum is σ = 19627482600. Its totient is φ = 975421440.

The previous prime is 4493543027. The next prime is 4493543057. The reversal of 4493543040 is 403453944.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2390036544 + 2103506496 = 48888^2 + 45864^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 4493542986 and 4493543004.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 73664610 + ... + 73664670.

Almost surely, 24493543040 is an apocalyptic number.

4493543040 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 4493543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9813741300).

4493543040 is an abundant number, since it is smaller than the sum of its proper divisors (15133939560).

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

4493543040 is a wasteful number, since it uses less digits than its factorization.

4493543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4493543040 is about 67033.8947100644. The cubic root of 4493543040 is about 1650.1736015689.

Adding to 4493543040 its reverse (403453944), we get a palindrome (4896996984).

The spelling of 4493543040 in words is "four billion, four hundred ninety-three million, five hundred forty-three thousand, forty".