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563052480 = 26354712479
BaseRepresentation
bin100001100011110…
…111111111000000
31110020111000210120
4201203313333000
52123120134410
6131512100240
716644603264
oct4143677700
91406430716
10563052480
11269912731
12138694680
138c860563
1454aca0a4
1534670570
hex218f7fc0

563052480 has 112 divisors (see below), whose sum is σ = 1825873920. Its totient is φ = 146940928.

The previous prime is 563052463. The next prime is 563052481. The reversal of 563052480 is 84250365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563052481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38881 + ... + 51359.

Almost surely, 2563052480 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 563052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912936960).

563052480 is an abundant number, since it is smaller than the sum of its proper divisors (1262821440).

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

563052480 is a wasteful number, since it uses less digits than its factorization.

563052480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12546 (or 12536 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 563052480 is about 23728.7268937885. The cubic root of 563052480 is about 825.7519828668.

It can be divided in two parts, 56305 and 2480, that added together give a palindrome (58785).

The spelling of 563052480 in words is "five hundred sixty-three million, fifty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 141 160 188 192 235 240 282 320 376 470 480 564 705 752 940 960 1128 1410 1504 1880 2256 2820 3008 3760 4512 5640 7520 9024 11280 12479 15040 22560 24958 37437 45120 49916 62395 74874 99832 124790 149748 187185 199664 249580 299496 374370 399328 499160 586513 598992 748740 798656 998320 1173026 1197984 1497480 1759539 1996640 2346052 2395968 2932565 2994960 3519078 3993280 4692104 5865130 5989920 7038156 8797695 9384208 11730260 11979840 14076312 17595390 18768416 23460520 28152624 35190780 37536832 46921040 56305248 70381560 93842080 112610496 140763120 187684160 281526240 563052480