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49068180 = 2234574327
BaseRepresentation
bin1011101100101…
…1100010010100
310102022220220000
42323023202110
5100030140210
64511411300
71134033630
oct273134224
9112286800
1049068180
1125774717
1214523b30
13a220235
146733dc0
154493ac0
hex2ecb894

49068180 has 120 divisors (see below), whose sum is σ = 175959168. Its totient is φ = 11212992.

The previous prime is 49068161. The next prime is 49068181. The reversal of 49068180 is 8186094.

It is a happy number.

49068180 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49068181) 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 39 ways as a sum of consecutive naturals, for example, 9177 + ... + 13503.

Almost surely, 249068180 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 49068180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87979584).

49068180 is an abundant number, since it is smaller than the sum of its proper divisors (126890988).

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

49068180 is a wasteful number, since it uses less digits than its factorization.

49068180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4355 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 49068180 is about 7004.8683071133. The cubic root of 49068180 is about 366.1002144283.

The spelling of 49068180 in words is "forty-nine million, sixty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 4327 5670 8654 11340 12981 17308 21635 25962 30289 38943 43270 51924 60578 64905 77886 86540 90867 116829 121156 129810 151445 155772 181734 194715 233658 259620 272601 302890 350487 363468 389430 454335 467316 545202 584145 605780 700974 778860 817803 908670 1090404 1168290 1363005 1401948 1635606 1752435 1817340 2336580 2453409 2726010 3271212 3504870 4089015 4906818 5452020 7009740 8178030 9813636 12267045 16356060 24534090 49068180