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49161168 = 243475419
BaseRepresentation
bin1011101110001…
…0001111010000
310102111122110000
42323202033100
5100041124133
64513410000
71134602010
oct273421720
9112448400
1049161168
1125828571
1214569900
13a253664
146759c40
1544b1413
hex2ee23d0

49161168 has 100 divisors (see below), whose sum is σ = 162643360. Its totient is φ = 14043456.

The previous prime is 49161139. The next prime is 49161191. The reversal of 49161168 is 86116194.

It is a happy number.

49161168 is a `hidden beast` number, since 491 + 6 + 1 + 168 = 666.

49161168 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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 6363 + ... + 11781.

Almost surely, 249161168 is an apocalyptic number.

49161168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49161168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81321680).

49161168 is an abundant number, since it is smaller than the sum of its proper divisors (113482192).

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

49161168 is a wasteful number, since it uses less digits than its factorization.

49161168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5446 (or 5431 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 49161168 is about 7011.5025493827. The cubic root of 49161168 is about 366.3313312450.

It can be divided in two parts, 4916 and 1168, that added together give a square (6084 = 782).

The spelling of 49161168 in words is "forty-nine million, one hundred sixty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 5419 9072 10838 16257 21676 32514 37933 43352 48771 65028 75866 86704 97542 113799 130056 146313 151732 195084 227598 260112 292626 303464 341397 390168 438939 455196 585252 606928 682794 780336 877878 910392 1024191 1170504 1365588 1755756 1820784 2048382 2341008 2731176 3072573 3511512 4096764 5462352 6145146 7023024 8193528 12290292 16387056 24580584 49161168