Search a number
-
+
56013280 = 2552331491
BaseRepresentation
bin1101010110101…
…1000111100000
310220101202202221
43111223013200
5103314411110
65320320424
71250051011
oct325530740
9126352687
1056013280
1129688674
1216913114
13b7b246b
147621008
154db67da
hex356b1e0

56013280 has 96 divisors (see below), whose sum is σ = 142829568. Its totient is φ = 20697600.

The previous prime is 56013263. The next prime is 56013289. The reversal of 56013280 is 8231065.

It is a happy number.

56013280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56013289) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 113835 + ... + 114325.

It is an arithmetic number, because the mean of its divisors is an integer number (1487808).

Almost surely, 256013280 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 56013280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71414784).

56013280 is an abundant number, since it is smaller than the sum of its proper divisors (86816288).

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

56013280 is a wasteful number, since it uses less digits than its factorization.

56013280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 56013280 is about 7484.2020282726. The cubic root of 56013280 is about 382.6164766953.

The spelling of 56013280 in words is "fifty-six million, thirteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 31 32 40 46 62 80 92 115 124 155 160 184 230 248 310 368 460 491 496 620 713 736 920 982 992 1240 1426 1840 1964 2455 2480 2852 3565 3680 3928 4910 4960 5704 7130 7856 9820 11293 11408 14260 15221 15712 19640 22586 22816 28520 30442 39280 45172 56465 57040 60884 76105 78560 90344 112930 114080 121768 152210 180688 225860 243536 304420 350083 361376 451720 487072 608840 700166 903440 1217680 1400332 1750415 1806880 2435360 2800664 3500830 5601328 7001660 11202656 14003320 28006640 56013280