Search a number
-
+
56547568 = 2472117983
BaseRepresentation
bin1101011110110…
…1100011110000
310221101220200101
43113231203300
5103434010233
65340002144
71254434500
oct327554360
9127356611
1056547568
1129a13030
1216b30354
13b93b6cc
14771da00
154e6ec7d
hex35ed8f0

56547568 has 120 divisors (see below), whose sum is σ = 142490880. Its totient is φ = 21490560.

The previous prime is 56547551. The next prime is 56547599. The reversal of 56547568 is 86574565.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 681255 + ... + 681337.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 256547568 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 56547568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71245440).

56547568 is an abundant number, since it is smaller than the sum of its proper divisors (85943312).

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

56547568 is a wasteful number, since it uses less digits than its factorization.

56547568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 46.

The square root of 56547568 is about 7519.8116997701. The cubic root of 56547568 is about 383.8291702528.

The spelling of 56547568 in words is "fifty-six million, five hundred forty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 79 83 88 98 112 154 158 166 176 196 308 316 332 392 539 553 581 616 632 664 784 869 913 1078 1106 1162 1232 1264 1328 1738 1826 2156 2212 2324 3476 3652 3871 4067 4312 4424 4648 6083 6391 6557 6952 7304 7742 8134 8624 8848 9296 12166 12782 13114 13904 14608 15484 16268 24332 25564 26228 30968 32536 42581 44737 45899 48664 51128 52456 61936 65072 72127 85162 89474 91798 97328 102256 104912 144254 170324 178948 183596 288508 321293 340648 357896 367192 504889 577016 642586 681296 715792 734384 1009778 1154032 1285172 2019556 2570344 3534223 4039112 5140688 7068446 8078224 14136892 28273784 56547568