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49909440 = 2635721061
BaseRepresentation
bin1011111001100…
…0111011000000
310110220122212210
42332120323000
5100234100230
64541422120
71144136400
oct276307300
9113818783
1049909440
1126199779
121486a940
13a456119
1468b2800
1545aceb0
hex2f98ec0

49909440 has 168 divisors, whose sum is σ = 184507632. Its totient is φ = 11397120.

The previous prime is 49909429. The next prime is 49909451. The reversal of 49909440 is 4490994.

It is a happy number.

49909440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49909429) and next prime (49909451).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×499094402 = 4981904402227200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46510 + ... + 47570.

Almost surely, 249909440 is an apocalyptic number.

49909440 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 49909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92253816).

49909440 is an abundant number, since it is smaller than the sum of its proper divisors (134598192).

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

49909440 is a wasteful number, since it uses less digits than its factorization.

49909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 49909440 is about 7064.6613506947. The cubic root of 49909440 is about 368.1805981864.

The spelling of 49909440 in words is "forty-nine million, nine hundred nine thousand, four hundred forty".