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49166208 = 2732721367
BaseRepresentation
bin1011101110001…
…1011110000000
310102111220100200
42323203132000
5100041304313
64513445200
71134622500
oct273433600
9112456320
1049166208
1125831333
1214570800
13a255a40
14675ba00
1544b2b73
hex2ee3780

49166208 has 288 divisors, whose sum is σ = 179885160. Its totient is φ = 12773376.

The previous prime is 49166207. The next prime is 49166219. The reversal of 49166208 is 80266194.

49166208 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 (288).

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 (49166207) 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 35 ways as a sum of consecutive naturals, for example, 733791 + ... + 733857.

Almost surely, 249166208 is an apocalyptic number.

49166208 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 49166208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89942580).

49166208 is an abundant number, since it is smaller than the sum of its proper divisors (130718952).

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

49166208 is a wasteful number, since it uses less digits than its factorization.

49166208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 49166208 is about 7011.8619495823. The cubic root of 49166208 is about 366.3438495726.

The spelling of 49166208 in words is "forty-nine million, one hundred sixty-six thousand, two hundred eight".