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49082112 = 2836263
BaseRepresentation
bin1011101100111…
…0111100000000
310102100122000000
42323032330000
5100031111422
64512000000
71134122352
oct273167400
9112318000
1049082112
1125784132
1214530000
13a226691
1467390d2
154497cac
hex2ecef00

49082112 has 126 divisors (see below), whose sum is σ = 147450072. Its totient is φ = 16298496.

The previous prime is 49082107. The next prime is 49082113. The reversal of 49082112 is 21128094.

49082112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×490821123 (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49082113) 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 13 ways as a sum of consecutive naturals, for example, 186493 + ... + 186755.

Almost surely, 249082112 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 49082112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73725036).

49082112 is an abundant number, since it is smaller than the sum of its proper divisors (98367960).

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

49082112 is an frugal number, since it uses more digits than its factorization.

49082112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 49082112 is about 7005.8626877780. The cubic root of 49082112 is about 366.1348602723.

It can be divided in two parts, 49082 and 112, that added together give a palindrome (49194).

The spelling of 49082112 in words is "forty-nine million, eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 263 288 324 384 432 486 526 576 648 729 768 789 864 972 1052 1152 1296 1458 1578 1728 1944 2104 2304 2367 2592 2916 3156 3456 3888 4208 4734 5184 5832 6312 6912 7101 7776 8416 9468 10368 11664 12624 14202 15552 16832 18936 20736 21303 23328 25248 28404 31104 33664 37872 42606 46656 50496 56808 62208 63909 67328 75744 85212 93312 100992 113616 127818 151488 170424 186624 191727 201984 227232 255636 302976 340848 383454 454464 511272 605952 681696 766908 908928 1022544 1363392 1533816 1817856 2045088 2726784 3067632 4090176 5453568 6135264 8180352 12270528 16360704 24541056 49082112