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49108416 = 263761599
BaseRepresentation
bin1011101101010…
…1010111000000
310102101222002020
42323111113000
5100032432131
64512321440
71134262140
oct273252700
9112358066
1049108416
11257a1975
1214543280
13a235646
146744920
1544a0996
hex2ed55c0

49108416 has 112 divisors (see below), whose sum is σ = 151180800. Its totient is φ = 13777920.

The previous prime is 49108379. The next prime is 49108421. The reversal of 49108416 is 61480194.

49108416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 81685 + ... + 82283.

Almost surely, 249108416 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 49108416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75590400).

49108416 is an abundant number, since it is smaller than the sum of its proper divisors (102072384).

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

49108416 is a wasteful number, since it uses less digits than its factorization.

49108416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 49108416 is about 7007.7397211940. The cubic root of 49108416 is about 366.2002547106.

The spelling of 49108416 in words is "forty-nine million, one hundred eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 168 183 192 224 244 336 366 427 448 488 599 672 732 854 976 1198 1281 1344 1464 1708 1797 1952 2396 2562 2928 3416 3594 3904 4193 4792 5124 5856 6832 7188 8386 9584 10248 11712 12579 13664 14376 16772 19168 20496 25158 27328 28752 33544 36539 38336 40992 50316 57504 67088 73078 81984 100632 109617 115008 134176 146156 201264 219234 255773 268352 292312 402528 438468 511546 584624 767319 805056 876936 1023092 1169248 1534638 1753872 2046184 2338496 3069276 3507744 4092368 6138552 7015488 8184736 12277104 16369472 24554208 49108416