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49443840 = 2103252937
BaseRepresentation
bin1011110010011…
…1010000000000
310110001000012100
42330213100000
5100124200330
64523430400
71140160065
oct274472000
9113030170
1049443840
1125a00986
1214685400
13a322214
1467d0c6c
15451a060
hex2f27400

49443840 has 264 divisors, whose sum is σ = 182019240. Its totient is φ = 12386304.

The previous prime is 49443799. The next prime is 49443883. The reversal of 49443840 is 4834494.

It can be written as a sum of positive squares in 4 ways, for example, as 14017536 + 35426304 = 3744^2 + 5952^2 .

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 = 49443795 and 49443804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1336302 + ... + 1336338.

Almost surely, 249443840 is an apocalyptic number.

49443840 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 49443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91009620).

49443840 is an abundant number, since it is smaller than the sum of its proper divisors (132575400).

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

49443840 is a wasteful number, since it uses less digits than its factorization.

49443840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 49443840 is about 7031.6313896563. The cubic root of 49443840 is about 367.0321131509.

The spelling of 49443840 in words is "forty-nine million, four hundred forty-three thousand, eight hundred forty".