Search a number
-
+
545814072 = 23333078231
BaseRepresentation
bin100000100010000…
…111011000111000
31102001001020011000
4200202013120320
52104212022242
6130054405000
716345225446
oct4042073070
91361036130
10545814072
11260109211
12132960760
138910610b
14526bdb96
1532db7a4c
hex20887638

545814072 has 64 divisors (see below), whose sum is σ = 1521273600. Its totient is φ = 181323360.

The previous prime is 545814043. The next prime is 545814077. The reversal of 545814072 is 270418545.

545814072 is a `hidden beast` number, since 5 + 4 + 581 + 4 + 0 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545814077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62197 + ... + 70427.

It is an arithmetic number, because the mean of its divisors is an integer number (23769900).

Almost surely, 2545814072 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 545814072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760636800).

545814072 is an abundant number, since it is smaller than the sum of its proper divisors (975459528).

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

545814072 is a wasteful number, since it uses less digits than its factorization.

545814072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8553 (or 8543 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 545814072 is about 23362.6640604191. The cubic root of 545814072 is about 817.2374175609.

It can be divided in two parts, 54581 and 4072, that added together give a triangular number (58653 = T342).

The spelling of 545814072 in words is "five hundred forty-five million, eight hundred fourteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 307 614 921 1228 1842 2456 2763 3684 5526 7368 8231 8289 11052 16462 16578 22104 24693 32924 33156 49386 65848 66312 74079 98772 148158 197544 222237 296316 444474 592632 888948 1777896 2526917 5053834 7580751 10107668 15161502 20215336 22742253 30323004 45484506 60646008 68226759 90969012 136453518 181938024 272907036 545814072