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49366980 = 223251317273
BaseRepresentation
bin1011110001010…
…0011111000100
310102220002202200
42330110133010
5100114220410
64522034500
71136420025
oct274243704
9112802680
1049366980
1125959163
1214648a30
13a2c6240
1467b0c4c
1545023c0
hex2f147c4

49366980 has 216 divisors, whose sum is σ = 173656392. Its totient is φ = 11280384.

The previous prime is 49366979. The next prime is 49366987. The reversal of 49366980 is 8966394.

49366980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 5171076 + 44195904 = 2274^2 + 6648^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (49366987) 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 71 ways as a sum of consecutive naturals, for example, 676224 + ... + 676296.

Almost surely, 249366980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49366980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86828196).

49366980 is an abundant number, since it is smaller than the sum of its proper divisors (124289412).

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

49366980 is a wasteful number, since it uses less digits than its factorization.

49366980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 49366980 is about 7026.1639605122. The cubic root of 49366980 is about 366.8418318250.

The spelling of 49366980 in words is "forty-nine million, three hundred sixty-six thousand, nine hundred eighty".