Search a number
-
+
49182168 = 23371671753
BaseRepresentation
bin1011101110011…
…1010111011000
310102112201020210
42323213113120
5100042312133
64514051120
71135020150
oct273472730
9112481223
1049182168
1125842322
1214579aa0
13a260099
146763760
1544b7763
hex2ee75d8

49182168 has 64 divisors (see below), whose sum is σ = 141442560. Its totient is φ = 13959936.

The previous prime is 49182149. The next prime is 49182187. The reversal of 49182168 is 86128194.

It is a Cunningham number, because it is equal to 70132-1.

It is an interprime number because it is at equal distance from previous prime (49182149) and next prime (49182187).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27180 + ... + 28932.

It is an arithmetic number, because the mean of its divisors is an integer number (2210040).

Almost surely, 249182168 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 49182168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70721280).

49182168 is an abundant number, since it is smaller than the sum of its proper divisors (92260392).

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

49182168 is a wasteful number, since it uses less digits than its factorization.

49182168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1932 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 49182168 is about 7012.9999287038. Note that the first 4 decimals coincide. The cubic root of 49182168 is about 366.3834853003.

The spelling of 49182168 in words is "forty-nine million, one hundred eighty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 167 168 334 501 668 1002 1169 1336 1753 2004 2338 3506 3507 4008 4676 5259 7012 7014 9352 10518 12271 14024 14028 21036 24542 28056 36813 42072 49084 73626 98168 147252 292751 294504 585502 878253 1171004 1756506 2049257 2342008 3513012 4098514 6147771 7026024 8197028 12295542 16394056 24591084 49182168