Search a number
-
+
545230056 = 23373107619
BaseRepresentation
bin100000011111111…
…000110011101000
31101222221120000210
4200133320303220
52104034330211
6130034101120
716340244000
oct4037706350
91358846023
10545230056
1125a84a458
1213271a7a0
1388c60347
14525ab000
1532cee9a6
hex207f8ce8

545230056 has 128 divisors (see below), whose sum is σ = 1607040000. Its totient is φ = 154074816.

The previous prime is 545230051. The next prime is 545230057. The reversal of 545230056 is 650032545.

545230056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (545230051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 880515 + ... + 881133.

It is an arithmetic number, because the mean of its divisors is an integer number (12555000).

Almost surely, 2545230056 is an apocalyptic number.

545230056 is a gapful number since it is divisible by the number (56) 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 545230056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803520000).

545230056 is an abundant number, since it is smaller than the sum of its proper divisors (1061809944).

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

545230056 is a wasteful number, since it uses less digits than its factorization.

545230056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 545230056 is about 23350.1617981546. The cubic root of 545230056 is about 816.9458347175.

The spelling of 545230056 in words is "five hundred forty-five million, two hundred thirty thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 107 147 168 196 214 294 321 343 392 428 588 619 642 686 749 856 1029 1176 1238 1284 1372 1498 1857 2058 2247 2476 2568 2744 2996 3714 4116 4333 4494 4952 5243 5992 7428 8232 8666 8988 10486 12999 14856 15729 17332 17976 20972 25998 30331 31458 34664 36701 41944 51996 60662 62916 66233 73402 90993 103992 110103 121324 125832 132466 146804 181986 198699 212317 220206 242648 264932 293608 363972 397398 424634 440412 463631 529864 636951 727944 794796 849268 880824 927262 1273902 1390893 1589592 1698536 1854524 2547804 2781786 3245417 3709048 5095608 5563572 6490834 9736251 11127144 12981668 19472502 22717919 25963336 38945004 45435838 68153757 77890008 90871676 136307514 181743352 272615028 545230056