Search a number
-
+
56000322 = 23773159
BaseRepresentation
bin1101010110011…
…1111101000010
310220101010000000
43111213331002
5103314002242
65320140430
71246665150
oct325477502
9126333000
1056000322
1129679964
1216907716
13b7a95b1
14761a3d0
154db2a4c
hex3567f42

56000322 has 128 divisors (see below), whose sum is σ = 151142400. Its totient is φ = 15221520.

The previous prime is 56000293. The next prime is 56000333. The reversal of 56000322 is 22300065.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 56000295 and 56000304.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 949129 + ... + 949187.

It is an arithmetic number, because the mean of its divisors is an integer number (1180800).

Almost surely, 256000322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56000322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75571200).

56000322 is an abundant number, since it is smaller than the sum of its proper divisors (95142078).

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

56000322 is an equidigital number, since it uses as much as digits as its factorization.

56000322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 56000322 is about 7483.3362880469. The cubic root of 56000322 is about 382.5869698434.

Adding to 56000322 its reverse (22300065), we get a palindrome (78300387).

The spelling of 56000322 in words is "fifty-six million, three hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 59 62 63 81 93 118 126 162 177 186 189 217 243 279 354 378 413 434 486 531 558 567 651 729 826 837 1062 1134 1239 1302 1458 1593 1674 1701 1829 1953 2187 2478 2511 3186 3402 3658 3717 3906 4374 4779 5022 5103 5487 5859 7434 7533 9558 10206 10974 11151 11718 12803 14337 15066 15309 16461 17577 22302 22599 25606 28674 30618 32922 33453 35154 38409 43011 45198 49383 52731 66906 67797 76818 86022 98766 100359 105462 115227 129033 135594 148149 158193 200718 230454 258066 296298 301077 316386 345681 444447 474579 602154 691362 888894 903231 949158 1037043 1333341 1806462 2074086 2666682 3111129 4000023 6222258 8000046 9333387 18666774 28000161 56000322