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2725466436 = 2232721121132
BaseRepresentation
bin1010001001110011…
…0101000101000100
321000221110001002100
42202130311011010
521040204411221
61130240112100
7124353040200
oct24234650504
97027401070
102725466436
111179500300
12640905630
13345862044
141bbd81b00
1510e415926
hexa2735144

2725466436 has 243 divisors, whose sum is σ = 8887608093. Its totient is φ = 701648640.

The previous prime is 2725466423. The next prime is 2725466437. The reversal of 2725466436 is 6346645272.

The square root of 2725466436 is 52206.

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

2725466436 is a `hidden beast` number, since 2 + 72 + 546 + 6 + 4 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48024900 + 2677441536 = 6930^2 + 51744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2725466391 and 2725466400.

It is not an unprimeable number, because it can be changed into a prime (2725466437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24119116 + ... + 24119228.

Almost surely, 22725466436 is an apocalyptic number.

2725466436 is the 52206-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2725466436

2725466436 is an abundant number, since it is smaller than the sum of its proper divisors (6162141657).

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

2725466436 is a wasteful number, since it uses less digits than its factorization.

2725466436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 136 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The cubic root of 2725466436 is about 1396.8409102321.

The spelling of 2725466436 in words is "two billion, seven hundred twenty-five million, four hundred sixty-six thousand, four hundred thirty-six".