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49712166 = 23272157359
BaseRepresentation
bin1011110110100…
…0110000100110
310110112122021100
42331220300212
5100211242131
64533300530
71142355300
oct275506046
9113478240
1049712166
1126074539
1214794746
13a3b73aa
146860970
15456e7e6
hex2f68c26

49712166 has 72 divisors (see below), whose sum is σ = 126444240. Its totient is φ = 14073696.

The previous prime is 49712153. The next prime is 49712167. The reversal of 49712166 is 66121794.

49712166 is a `hidden beast` number, since 497 + 1 + 2 + 166 = 666.

49712166 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 49712166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49712167) 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 35 ways as a sum of consecutive naturals, for example, 138295 + ... + 138653.

It is an arithmetic number, because the mean of its divisors is an integer number (1756170).

Almost surely, 249712166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49712166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63222120).

49712166 is an abundant number, since it is smaller than the sum of its proper divisors (76732074).

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

49712166 is a wasteful number, since it uses less digits than its factorization.

49712166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 528 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 49712166 is about 7050.6854985881. The cubic root of 49712166 is about 367.6948626445.

The spelling of 49712166 in words is "forty-nine million, seven hundred twelve thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 157 294 314 359 441 471 718 882 942 1077 1099 1413 2154 2198 2513 2826 3231 3297 5026 6462 6594 7539 7693 9891 15078 15386 17591 19782 22617 23079 35182 45234 46158 52773 56363 69237 105546 112726 138474 158319 169089 316638 338178 394541 507267 789082 1014534 1183623 2367246 2761787 3550869 5523574 7101738 8285361 16570722 24856083 49712166