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49908672 = 2632117877
BaseRepresentation
bin1011111001100…
…0101111000000
310110220121211100
42332120233000
5100234034142
64541414400
71144134222
oct276305700
9113817740
1049908672
1126199140
121486a400
13a455978
1468b2412
1545acb4c
hex2f98bc0

49908672 has 84 divisors (see below), whose sum is σ = 156078936. Its totient is φ = 15121920.

The previous prime is 49908641. The next prime is 49908673. The reversal of 49908672 is 27680994.

It is a happy number.

49908672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49908673) 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, 2398 + ... + 10274.

Almost surely, 249908672 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 49908672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78039468).

49908672 is an abundant number, since it is smaller than the sum of its proper divisors (106170264).

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

49908672 is a wasteful number, since it uses less digits than its factorization.

49908672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7906 (or 7893 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 49908672 is about 7064.6069954386. The cubic root of 49908672 is about 368.1787096716.

Adding to 49908672 its product of nonzero digits (217728), we get a square (50126400 = 70802).

The spelling of 49908672 in words is "forty-nine million, nine hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 7877 15754 23631 31508 47262 63016 70893 86647 94524 126032 141786 173294 189048 252064 259941 283572 346588 378096 504128 519882 567144 693176 756192 779823 1039764 1134288 1386352 1512384 1559646 2079528 2268576 2772704 3119292 4159056 4537152 5545408 6238584 8318112 12477168 16636224 24954336 49908672