Search a number
-
+
49649152 = 29721979
BaseRepresentation
bin1011110101100…
…1011000000000
310110102102211111
42331121120000
5100202233102
64532053104
71142003500
oct275313000
9113372744
1049649152
1126031163
1214764194
13a3947c7
146845a00
15455acd7
hex2f59600

49649152 has 60 divisors (see below), whose sum is σ = 115455780. Its totient is φ = 21267456.

The previous prime is 49649141. The next prime is 49649167. The reversal of 49649152 is 25194694.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24099 + ... + 26077.

It is an arithmetic number, because the mean of its divisors is an integer number (1924263).

Almost surely, 249649152 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 49649152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57727890).

49649152 is an abundant number, since it is smaller than the sum of its proper divisors (65806628).

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

49649152 is an equidigital number, since it uses as much as digits as its factorization.

49649152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 1988 counting only the distinct ones).

The product of its digits is 77760, while the sum is 40.

The square root of 49649152 is about 7046.2154380916. The cubic root of 49649152 is about 367.5394364331.

The spelling of 49649152 in words is "forty-nine million, six hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1568 1792 1979 3136 3584 3958 6272 7916 12544 13853 15832 25088 27706 31664 55412 63328 96971 110824 126656 193942 221648 253312 387884 443296 506624 775768 886592 1013248 1551536 1773184 3103072 3546368 6206144 7092736 12412288 24824576 49649152