Search a number
-
+
49681888 = 2517271337
BaseRepresentation
bin1011110110000…
…1010111100000
310110111002201221
42331201113200
5100204310023
64532504424
71142201104
oct275412740
9113432657
1049681888
1126053813
121477b114
13a3a6689
146853904
15456585d
hex2f615e0

49681888 has 48 divisors (see below), whose sum is σ = 104255424. Its totient is φ = 23224320.

The previous prime is 49681883. The next prime is 49681897. The reversal of 49681888 is 88818694.

49681888 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 (49681883) 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 7 ways as a sum of consecutive naturals, for example, 147256 + ... + 147592.

It is an arithmetic number, because the mean of its divisors is an integer number (2171988).

Almost surely, 249681888 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 49681888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52127712).

49681888 is an abundant number, since it is smaller than the sum of its proper divisors (54573536).

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

49681888 is a wasteful number, since it uses less digits than its factorization.

49681888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 627 counting only the distinct ones).

The product of its digits is 884736, while the sum is 52.

The square root of 49681888 is about 7048.5380044375. The cubic root of 49681888 is about 367.6201973129.

The spelling of 49681888 in words is "forty-nine million, six hundred eighty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 271 272 337 542 544 674 1084 1348 2168 2696 4336 4607 5392 5729 8672 9214 10784 11458 18428 22916 36856 45832 73712 91327 91664 147424 182654 183328 365308 730616 1461232 1552559 2922464 3105118 6210236 12420472 24840944 49681888