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49854816 = 25321115737
BaseRepresentation
bin1011111000101…
…1100101100000
310110210212221200
42332023211200
5100230323231
64540321200
71143521214
oct276134540
9113725850
1049854816
1126161730
1214843200
13a4372bb
14689a944
15459bbe6
hex2f8b960

49854816 has 72 divisors (see below), whose sum is σ = 154673064. Its totient is φ = 15106560.

The previous prime is 49854757. The next prime is 49854817. The reversal of 49854816 is 61845894.

49854816 is a `hidden beast` number, since 4 + 98 + 548 + 16 = 666.

49854816 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49854817) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4701 + ... + 11036.

It is an arithmetic number, because the mean of its divisors is an integer number (2148237).

Almost surely, 249854816 is an apocalyptic number.

It is an amenable number.

49854816 is an abundant number, since it is smaller than the sum of its proper divisors (104818248).

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

49854816 is a wasteful number, since it uses less digits than its factorization.

49854816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15764 (or 15753 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 49854816 is about 7060.7942895966. The cubic root of 49854816 is about 368.0462292270.

It can be divided in two parts, 4985 and 4816, that added together give a square (9801 = 992).

The spelling of 49854816 in words is "forty-nine million, eight hundred fifty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 15737 31474 47211 62948 94422 125896 141633 173107 188844 251792 283266 346214 377688 503584 519321 566532 692428 755376 1038642 1133064 1384856 1510752 1557963 2077284 2266128 2769712 3115926 4154568 4532256 5539424 6231852 8309136 12463704 16618272 24927408 49854816