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3609125776 = 242326532
BaseRepresentation
bin1101011100011110…
…1110001110010000
3100022112012120211001
43113013232032100
524342414011101
61354044031344
7155303030404
oct32707561620
910275176731
103609125776
111592291683
12848832554
13456956aa9
14263487104
15161cb5901
hexd71ee390

3609125776 has 45 divisors (see below), whose sum is σ = 7321141009. Its totient is φ = 1723460288.

The previous prime is 3609125771. The next prime is 3609125797. The reversal of 3609125776 is 6775219063.

The square root of 3609125776 is 60076.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 839840400 + 2769285376 = 28980^2 + 52624^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3609125771) 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 8 ways as a sum of consecutive naturals, for example, 5526666 + ... + 5527318.

Almost surely, 23609125776 is an apocalyptic number.

3609125776 is the 60076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3609125776

3609125776 is an abundant number, since it is smaller than the sum of its proper divisors (3712015233).

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

3609125776 is an frugal number, since it uses more digits than its factorization.

3609125776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 46.

The cubic root of 3609125776 is about 1533.9128032042.

The spelling of 3609125776 in words is "three billion, six hundred nine million, one hundred twenty-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 653 1058 1306 2116 2612 4232 5224 8464 10448 15019 30038 60076 120152 240304 345437 426409 690874 852818 1381748 1705636 2763496 3411272 5526992 6822544 9807407 19614814 39229628 78459256 156918512 225570361 451140722 902281444 1804562888 3609125776