Search a number
-
+
545742500 = 22541712841
BaseRepresentation
bin100000100001110…
…101111010100100
31102000220120222012
4200201311322210
52104202230000
6130053053352
716344510002
oct4041657244
91360816865
10545742500
1126006a466
12132927258
13890ac674
14526a1a72
1532da1735
hex20875ea4

545742500 has 60 divisors (see below), whose sum is σ = 1263729852. Its totient is φ = 205440000.

The previous prime is 545742499. The next prime is 545742511. The reversal of 545742500 is 5247545.

It can be written as a sum of positive squares in 10 ways, for example, as 354418276 + 191324224 = 18826^2 + 13832^2 .

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 36080 + ... + 48920.

Almost surely, 2545742500 is an apocalyptic number.

545742500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545742500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631864926).

545742500 is an abundant number, since it is smaller than the sum of its proper divisors (717987352).

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

545742500 is a wasteful number, since it uses less digits than its factorization.

545742500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12882 (or 12865 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 32.

The square root of 545742500 is about 23361.1322499574. The cubic root of 545742500 is about 817.2016948510.

The spelling of 545742500 in words is "five hundred forty-five million, seven hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 625 850 1250 1700 2125 2500 4250 8500 10625 12841 21250 25682 42500 51364 64205 128410 218297 256820 321025 436594 642050 873188 1091485 1284100 1605125 2182970 3210250 4365940 5457425 6420500 8025625 10914850 16051250 21829700 27287125 32102500 54574250 109148500 136435625 272871250 545742500