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49424000 = 27533089
BaseRepresentation
bin1011110010001…
…0011010000000
310102222222222112
42330202122000
5100123032000
64523154452
71140045203
oct274423200
9112888875
1049424000
1125997a8a
1214675a28
13a316192
1467c793a
154514235
hex2f22680

49424000 has 64 divisors (see below), whose sum is σ = 122920200. Its totient is φ = 19763200.

The previous prime is 49423999. The next prime is 49424003. The reversal of 49424000 is 42494.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26460736 + 22963264 = 5144^2 + 4792^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (49424003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14456 + ... + 17544.

Almost surely, 249424000 is an apocalyptic number.

49424000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61460100).

49424000 is an abundant number, since it is smaller than the sum of its proper divisors (73496200).

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

49424000 is an equidigital number, since it uses as much as digits as its factorization.

49424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 49424000 is about 7030.2204801841. The cubic root of 49424000 is about 366.9830144069.

Adding to 49424000 its reverse (42494), we get a palindrome (49466494).

The spelling of 49424000 in words is "forty-nine million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3089 3200 4000 6178 8000 12356 15445 16000 24712 30890 49424 61780 77225 98848 123560 154450 197696 247120 308900 386125 395392 494240 617800 772250 988480 1235600 1544500 1976960 2471200 3089000 4942400 6178000 9884800 12356000 24712000 49424000