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49330080 = 2533519601
BaseRepresentation
bin1011110000101…
…1011110100000
310102211020011000
42330023132200
5100112030310
64521152000
71136204322
oct274133640
9112736130
1049330080
1125933468
121462b600
13a2b24c7
1467a1612
1544e64c0
hex2f0b7a0

49330080 has 192 divisors, whose sum is σ = 182044800. Its totient is φ = 12441600.

The previous prime is 49330069. The next prime is 49330087. The reversal of 49330080 is 8003394.

49330080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (49330087) 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 31 ways as a sum of consecutive naturals, for example, 81780 + ... + 82380.

It is an arithmetic number, because the mean of its divisors is an integer number (948150).

Almost surely, 249330080 is an apocalyptic number.

49330080 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 49330080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91022400).

49330080 is an abundant number, since it is smaller than the sum of its proper divisors (132714720).

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

49330080 is a wasteful number, since it uses less digits than its factorization.

49330080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 49330080 is about 7023.5375701992. The cubic root of 49330080 is about 366.7504087884.

The spelling of 49330080 in words is "forty-nine million, three hundred thirty thousand, eighty".