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49406384 = 2419331491
BaseRepresentation
bin1011110001111…
…0000110110000
310102222002211002
42330132012300
5100122001014
64522541132
71136642636
oct274360660
9112862732
1049406384
1125985825
12146677a8
13a30b161
1467c1356
15450ddde
hex2f1e1b0

49406384 has 40 divisors (see below), whose sum is σ = 101273280. Its totient is φ = 23284800.

The previous prime is 49406381. The next prime is 49406387. The reversal of 49406384 is 48360494.

49406384 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 (49406381) and next prime (49406387).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (49406381) 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 7 ways as a sum of consecutive naturals, for example, 100379 + ... + 100869.

It is an arithmetic number, because the mean of its divisors is an integer number (2531832).

Almost surely, 249406384 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 49406384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50636640).

49406384 is an abundant number, since it is smaller than the sum of its proper divisors (51866896).

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

49406384 is a wasteful number, since it uses less digits than its factorization.

49406384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 49406384 is about 7028.9674917444. The cubic root of 49406384 is about 366.9394084597.

The spelling of 49406384 in words is "forty-nine million, four hundred six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 331 491 662 982 1324 1964 2648 3928 5296 6289 7856 9329 12578 18658 25156 37316 50312 74632 100624 149264 162521 325042 650084 1300168 2600336 3087899 6175798 12351596 24703192 49406384