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49236768 = 2533721163
BaseRepresentation
bin1011101111010…
…0101100100000
310102122111011000
42323310230200
5100101034033
64515152000
71135335300
oct273645440
9112574130
1049236768
112587a349
12145a5600
13a27bba9
146779600
1544c8a13
hex2ef4b20

49236768 has 144 divisors (see below), whose sum is σ = 167196960. Its totient is φ = 14055552.

The previous prime is 49236749. The next prime is 49236791. The reversal of 49236768 is 86763294.

49236768 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 (144).

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

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 23 ways as a sum of consecutive naturals, for example, 41755 + ... + 42917.

It is an arithmetic number, because the mean of its divisors is an integer number (1161090).

Almost surely, 249236768 is an apocalyptic number.

49236768 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 49236768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83598480).

49236768 is an abundant number, since it is smaller than the sum of its proper divisors (117960192).

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

49236768 is a wasteful number, since it uses less digits than its factorization.

49236768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1175 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 49236768 is about 7016.8916195136. The cubic root of 49236768 is about 366.5190164012.

The spelling of 49236768 in words is "forty-nine million, two hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1163 1176 1323 1512 1568 1764 2016 2326 2352 2646 3024 3489 3528 4652 4704 5292 6048 6978 7056 8141 9304 10467 10584 13956 14112 16282 18608 20934 21168 24423 27912 31401 32564 37216 41868 42336 48846 55824 56987 62802 65128 73269 83736 97692 111648 113974 125604 130256 146538 167472 170961 195384 219807 227948 251208 260512 293076 334944 341922 390768 439614 455896 502416 512883 586152 683844 781536 879228 911792 1004832 1025766 1172304 1367688 1538649 1758456 1823584 2051532 2344608 2735376 3077298 3516912 4103064 5470752 6154596 7033824 8206128 12309192 16412256 24618384 49236768