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49330944 = 28351361
BaseRepresentation
bin1011110000101…
…1101100000000
310102211021100000
42330023230000
5100112042234
64521200000
71136206665
oct274135400
9112737300
1049330944
1125934083
1214630000
13a2b2a10
1467a1a6c
1544e6899
hex2f0bb00

49330944 has 216 divisors, whose sum is σ = 161451472. Its totient is φ = 14929920.

The previous prime is 49330927. The next prime is 49331017. The reversal of 49330944 is 44903394.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×493309442 = 4867084071862272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 49330899 and 49330908.

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 23 ways as a sum of consecutive naturals, for example, 808674 + ... + 808734.

Almost surely, 249330944 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 49330944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80725736).

49330944 is an abundant number, since it is smaller than the sum of its proper divisors (112120528).

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

49330944 is an equidigital number, since it uses as much as digits as its factorization.

49330944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 49330944 is about 7023.5990773961. The cubic root of 49330944 is about 366.7525499465.

The spelling of 49330944 in words is "forty-nine million, three hundred thirty thousand, nine hundred forty-four".