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49818240 = 27345312
BaseRepresentation
bin1011111000001…
…0101010000000
310110202000210000
42332002222000
5100223140430
64535440000
71143306453
oct276025200
9113660700
1049818240
11261371aa
1214826000
13a423764
14688b49a
154590e60
hex2f82a80

49818240 has 240 divisors, whose sum is σ = 183834090. Its totient is φ = 12856320.

The previous prime is 49818233. The next prime is 49818277. The reversal of 49818240 is 4281894.

It can be written as a sum of positive squares in only one way, i.e., 44836416 + 4981824 = 6696^2 + 2232^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 49818195 and 49818204.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1607025 + ... + 1607055.

Almost surely, 249818240 is an apocalyptic number.

49818240 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 49818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91917045).

49818240 is an abundant number, since it is smaller than the sum of its proper divisors (134015850).

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

49818240 is an equidigital number, since it uses as much as digits as its factorization.

49818240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 49818240 is about 7058.2037374958. The cubic root of 49818240 is about 367.9562014667.

The spelling of 49818240 in words is "forty-nine million, eight hundred eighteen thousand, two hundred forty".