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2461433540 = 225123071677
BaseRepresentation
bin1001001010110110…
…0111111011000100
320100112121210001012
42102231213323010
520020111333130
61044125021352
7114665561036
oct22255477304
96315553035
102461433540
1110534624a5
125883b4858
13302c48267
14194c91c56
15e615d995
hex92b67ec4

2461433540 has 12 divisors (see below), whose sum is σ = 5169010476. Its totient is φ = 984573408.

The previous prime is 2461433503. The next prime is 2461433543. The reversal of 2461433540 is 453341642.

It can be written as a sum of positive squares in 2 ways, for example, as 575616064 + 1885817476 = 23992^2 + 43426^2 .

It is a super-3 number, since 3×24614335403 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2461433497 and 2461433506.

It is not an unprimeable number, because it can be changed into a prime (2461433543) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 61535819 + ... + 61535858.

It is an arithmetic number, because the mean of its divisors is an integer number (430750873).

Almost surely, 22461433540 is an apocalyptic number.

2461433540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2461433540 is an abundant number, since it is smaller than the sum of its proper divisors (2707576936).

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

2461433540 is a wasteful number, since it uses less digits than its factorization.

2461433540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123071686 (or 123071684 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 2461433540 is about 49612.8364438076. The cubic root of 2461433540 is about 1350.1935780940.

The spelling of 2461433540 in words is "two billion, four hundred sixty-one million, four hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 123071677 246143354 492286708 615358385 1230716770 2461433540