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56113830 = 23353741137
BaseRepresentation
bin1101011000001…
…1101010100110
310220120212201000
43112003222212
5103331120310
65322414130
71250650113
oct326035246
9126525630
1056113830
1129747173
1216961346
13b819166
14764990a
154dd64c0
hex3583aa6

56113830 has 128 divisors (see below), whose sum is σ = 158578560. Its totient is φ = 14100480.

The previous prime is 56113777. The next prime is 56113831. The reversal of 56113830 is 3831165.

56113830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 56113794 and 56113803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56113831) 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 63 ways as a sum of consecutive naturals, for example, 409522 + ... + 409658.

It is an arithmetic number, because the mean of its divisors is an integer number (1238895).

Almost surely, 256113830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56113830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79289280).

56113830 is an abundant number, since it is smaller than the sum of its proper divisors (102464730).

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

56113830 is a wasteful number, since it uses less digits than its factorization.

56113830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 56113830 is about 7490.9164993344. The cubic root of 56113830 is about 382.8452860605.

Adding to 56113830 its reverse (3831165), we get a palindrome (59944995).

The spelling of 56113830 in words is "fifty-six million, one hundred thirteen thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 41 45 54 74 82 90 111 123 135 137 185 205 222 246 270 274 333 369 370 410 411 555 615 666 685 738 822 999 1107 1110 1230 1233 1370 1517 1665 1845 1998 2055 2214 2466 3034 3330 3690 3699 4110 4551 4995 5069 5535 5617 6165 7398 7585 9102 9990 10138 11070 11234 12330 13653 15170 15207 16851 18495 22755 25345 27306 28085 30414 33702 36990 40959 45510 45621 50553 50690 56170 68265 76035 81918 84255 91242 101106 136530 136863 151659 152070 168510 204795 207829 228105 252765 273726 303318 409590 415658 456210 505530 623487 684315 758295 1039145 1246974 1368630 1516590 1870461 2078290 3117435 3740922 5611383 6234870 9352305 11222766 18704610 28056915 56113830