Search a number
-
+
49263648 = 253773309
BaseRepresentation
bin1011101111101…
…1010000100000
310102200212000120
42323323100200
5100102414043
64515520240
71135506540
oct273732040
9112625016
1049263648
1125898565
12145b9080
13a28b1b5
146785320
1544d1983
hex2efb420

49263648 has 48 divisors (see below), whose sum is σ = 147792960. Its totient is φ = 14075136.

The previous prime is 49263629. The next prime is 49263649. The reversal of 49263648 is 84636294.

It is a happy number.

49263648 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 (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (49263649) 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, 35983 + ... + 37326.

It is an arithmetic number, because the mean of its divisors is an integer number (3079020).

Almost surely, 249263648 is an apocalyptic number.

49263648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

49263648 is an abundant number, since it is smaller than the sum of its proper divisors (98529312).

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

49263648 is a wasteful number, since it uses less digits than its factorization.

49263648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73329 (or 73321 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 49263648 is about 7018.8067361910. The cubic root of 49263648 is about 366.5857026011.

The spelling of 49263648 in words is "forty-nine million, two hundred sixty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 73309 146618 219927 293236 439854 513163 586472 879708 1026326 1172944 1539489 1759416 2052652 2345888 3078978 3518832 4105304 6157956 7037664 8210608 12315912 16421216 24631824 49263648