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4461542440 = 235611828501
BaseRepresentation
bin1000010011110110…
…11011110000101000
3102111221011211122121
410021323123300220
533114123324230
62014414201024
7215363325235
oct41173336050
912457154577
104461542440
11198a473963
12a461b3174
13561430054
1430477878c
151b1a4377a
hex109edbc28

4461542440 has 32 divisors (see below), whose sum is σ = 10203041160. Its totient is φ = 1755360000.

The previous prime is 4461542431. The next prime is 4461542447. The reversal of 4461542440 is 442451644.

It can be written as a sum of positive squares in 4 ways, for example, as 3161363076 + 1300179364 = 56226^2 + 36058^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4461542396 and 4461542405.

It is not an unprimeable number, because it can be changed into a prime (4461542447) 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, 911811 + ... + 916690.

Almost surely, 24461542440 is an apocalyptic number.

4461542440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4461542440 is an abundant number, since it is smaller than the sum of its proper divisors (5741498720).

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

4461542440 is a wasteful number, since it uses less digits than its factorization.

4461542440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828573 (or 1828569 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

The square root of 4461542440 is about 66794.7785384457. The cubic root of 4461542440 is about 1646.2470491448.

The spelling of 4461542440 in words is "four billion, four hundred sixty-one million, five hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 1828501 3657002 7314004 9142505 14628008 18285010 36570020 73140040 111538561 223077122 446154244 557692805 892308488 1115385610 2230771220 4461542440