Search a number
-
+
545795712 = 27337211293
BaseRepresentation
bin100000100010000…
…010111010000000
31102001000021222000
4200202002322000
52104210430322
6130054144000
716345121100
oct4042027200
91361007860
10545795712
112600a6440
12132952000
13890ca957
14526b7200
1532db23ac
hex20882e80

545795712 has 384 divisors, whose sum is σ = 2051179200. Its totient is φ = 141281280.

The previous prime is 545795711. The next prime is 545795713. The reversal of 545795712 is 217597545.

545795712 is a `hidden beast` number, since 5 + 4 + 5 + 79 + 571 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (545795711) and next prime (545795713).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (545795711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1862638 + ... + 1862930.

Almost surely, 2545795712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545795712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025589600).

545795712 is an abundant number, since it is smaller than the sum of its proper divisors (1505383488).

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

545795712 is a wasteful number, since it uses less digits than its factorization.

545795712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 316 counting only the distinct ones).

The product of its digits is 441000, while the sum is 45.

The square root of 545795712 is about 23362.2711224744. The cubic root of 545795712 is about 817.2282540942.

The spelling of 545795712 in words is "five hundred forty-five million, seven hundred ninety-five thousand, seven hundred twelve".