Search a number
-
+
545536512 = 2933193167
BaseRepresentation
bin100000100001000…
…011101000000000
31102000112010102000
4200201003220000
52104124132022
6130044424000
716342661313
oct4041035000
91360463360
10545536512
1125aa39724
12132848000
1389039991
145264a97a
1532d606ac
hex20843a00

545536512 has 320 divisors, whose sum is σ = 1780838400. Its totient is φ = 164229120.

The previous prime is 545536463. The next prime is 545536549. The reversal of 545536512 is 215635545.

545536512 is a `hidden beast` number, since 54 + 553 + 6 + 51 + 2 = 666.

It is a super-2 number, since 2×5455365122 = 595220171850252288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (90000) is a multiple of the sum of its prime factors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8142303 + ... + 8142369.

It is an arithmetic number, because the mean of its divisors is an integer number (5565120).

Almost surely, 2545536512 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 545536512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890419200).

545536512 is an abundant number, since it is smaller than the sum of its proper divisors (1235301888).

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

545536512 is a wasteful number, since it uses less digits than its factorization.

545536512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 122 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 545536512 is about 23356.7230578264. The cubic root of 545536512 is about 817.0988655703.

The spelling of 545536512 in words is "five hundred forty-five million, five hundred thirty-six thousand, five hundred twelve".