Search a number
-
+
49514976 = 253472729
BaseRepresentation
bin1011110011100…
…0100111100000
310110011121210000
42330320213200
5100133434401
64525140000
71140604350
oct274704740
9113147700
1049514976
1125a4a375
12146ba600
13a348704
14680cb60
154531186
hex2f389e0

49514976 has 120 divisors (see below), whose sum is σ = 166486320. Its totient is φ = 14141952.

The previous prime is 49514939. The next prime is 49514989. The reversal of 49514976 is 67941594.

49514976 is a `hidden beast` number, since 49 + 514 + 97 + 6 = 666.

49514976 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 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 19 ways as a sum of consecutive naturals, for example, 16780 + ... + 19508.

It is an arithmetic number, because the mean of its divisors is an integer number (1387386).

Almost surely, 249514976 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 49514976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83243160).

49514976 is an abundant number, since it is smaller than the sum of its proper divisors (116971344).

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

49514976 is a wasteful number, since it uses less digits than its factorization.

49514976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2741 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 49514976 is about 7036.6878572237. The cubic root of 49514976 is about 367.2080480102.

Adding to 49514976 its product of digits (272160), we get a 4-th power (49787136 = 844).

The spelling of 49514976 in words is "forty-nine million, five hundred fourteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 2729 3024 4536 5458 6048 8187 9072 10916 16374 18144 19103 21832 24561 32748 38206 43664 49122 57309 65496 73683 76412 87328 98244 114618 130992 147366 152824 171927 196488 221049 229236 261984 294732 305648 343854 392976 442098 458472 515781 589464 611296 687708 785952 884196 916944 1031562 1178928 1375416 1547343 1768392 1833888 2063124 2357856 2750832 3094686 3536784 4126248 5501664 6189372 7073568 8252496 12378744 16504992 24757488 49514976