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49065408 = 2632743283
BaseRepresentation
bin1011101100101…
…0110111000000
310102022210002100
42323022313000
5100030043113
64511350400
71134022560
oct273126700
9112283070
1049065408
1125772627
1214522400
13a21bbb2
146732da0
154492d73
hex2ecadc0

49065408 has 168 divisors, whose sum is σ = 165047168. Its totient is φ = 13644288.

The previous prime is 49065377. The next prime is 49065409. The reversal of 49065408 is 80456094.

49065408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49065409) by changing a digit.

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, 173235 + ... + 173517.

Almost surely, 249065408 is an apocalyptic number.

49065408 is a gapful number since it is divisible by the number (48) 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 49065408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82523584).

49065408 is an abundant number, since it is smaller than the sum of its proper divisors (115981760).

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

49065408 is a wasteful number, since it uses less digits than its factorization.

49065408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 49065408 is about 7004.6704419266. The cubic root of 49065408 is about 366.0933202869.

The spelling of 49065408 in words is "forty-nine million, sixty-five thousand, four hundred eight".