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49794336 = 2532414217
BaseRepresentation
bin1011110111110…
…0110100100000
310110200210222200
42331330310200
5100221404321
64535133200
71143146664
oct275746440
9113623880
1049794336
1126120249
1214814200
13a415907
1468828a4
154588d26
hex2f7cd20

49794336 has 72 divisors (see below), whose sum is σ = 145090764. Its totient is φ = 16189440.

The previous prime is 49794319. The next prime is 49794337. The reversal of 49794336 is 63349794.

It can be written as a sum of positive squares in 2 ways, for example, as 49617936 + 176400 = 7044^2 + 420^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 49794291 and 49794300.

It is not an unprimeable number, because it can be changed into a prime (49794337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9700 + ... + 13916.

Almost surely, 249794336 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 49794336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72545382).

49794336 is an abundant number, since it is smaller than the sum of its proper divisors (95296428).

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

49794336 is a wasteful number, since it uses less digits than its factorization.

49794336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4274 (or 4263 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 49794336 is about 7056.5101856371. The cubic root of 49794336 is about 367.8973406144.

The spelling of 49794336 in words is "forty-nine million, seven hundred ninety-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 369 492 656 738 984 1312 1476 1968 2952 3936 4217 5904 8434 11808 12651 16868 25302 33736 37953 50604 67472 75906 101208 134944 151812 172897 202416 303624 345794 404832 518691 607248 691588 1037382 1214496 1383176 1556073 2074764 2766352 3112146 4149528 5532704 6224292 8299056 12448584 16598112 24897168 49794336