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49456 = 2411281
BaseRepresentation
bin1100000100110000
32111211201
430010300
53040311
61020544
7264121
oct140460
974751
1049456
1134180
1224754
1319684
1414048
15e9c1
hexc130

49456 has 20 divisors (see below), whose sum is σ = 104904. Its totient is φ = 22400.

The previous prime is 49451. The next prime is 49459. The reversal of 49456 is 65494.

It can be divided in two parts, 49 and 456, that added together give a palindrome (505).

It is an alternating number because its digits alternate between even and odd.

It is a pancake number, because a pancake can be divided into 49456 parts by 314 straight cuts.

It is not an unprimeable number, because it can be changed into a prime (49451) by changing a digit.

49456 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36 + ... + 316.

249456 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 49456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52452).

49456 is an abundant number, since it is smaller than the sum of its proper divisors (55448).

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

49456 is a wasteful number, since it uses less digits than its factorization.

49456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 49456 is about 222.3870499827. The cubic root of 49456 is about 36.7062199438.

The spelling of 49456 in words is "forty-nine thousand, four hundred fifty-six".