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49455456 = 253737057
BaseRepresentation
bin1011110010101…
…0000101100000
310110001121010120
42330222011200
5100130033311
64524000240
71140236001
oct274520540
9113047116
1049455456
1125a09686
1214690080
13a3275ab
1467d51a8
15451d706
hex2f2a160

49455456 has 48 divisors (see below), whose sum is σ = 131617584. Its totient is φ = 16257024.

The previous prime is 49455449. The next prime is 49455479. The reversal of 49455456 is 65455494.

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 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 7 ways as a sum of consecutive naturals, for example, 3480 + ... + 10536.

It is an arithmetic number, because the mean of its divisors is an integer number (2742033).

Almost surely, 249455456 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 49455456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65808792).

49455456 is an abundant number, since it is smaller than the sum of its proper divisors (82162128).

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

49455456 is a wasteful number, since it uses less digits than its factorization.

49455456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7143 (or 7135 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The square root of 49455456 is about 7032.4573230131. The cubic root of 49455456 is about 367.0608535777.

It can be divided in two parts, 4945 and 5456, that added together give a palindrome (10401).

The spelling of 49455456 in words is "forty-nine million, four hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 7057 14114 21171 28228 42342 56456 84684 112912 169368 225824 338736 515161 677472 1030322 1545483 2060644 3090966 4121288 6181932 8242576 12363864 16485152 24727728 49455456