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49384842 = 23132113431
BaseRepresentation
bin1011110001100…
…0110110001010
310102221000021020
42330120312022
5100120303332
64522253310
71136523063
oct274306612
9112830236
1049384842
1125970621
1214657236
13a301400
1467b756a
15450782c
hex2f18d8a

49384842 has 48 divisors (see below), whose sum is σ = 108148608. Its totient is φ = 15025920.

The previous prime is 49384799. The next prime is 49384843. The reversal of 49384842 is 24848394.

49384842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 49384794 and 49384803.

It is not an unprimeable number, because it can be changed into a prime (49384843) 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, 114367 + ... + 114797.

It is an arithmetic number, because the mean of its divisors is an integer number (2253096).

Almost surely, 249384842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49384842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54074304).

49384842 is an abundant number, since it is smaller than the sum of its proper divisors (58763766).

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

49384842 is a wasteful number, since it uses less digits than its factorization.

49384842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 562 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 49384842 is about 7027.4349516733. The cubic root of 49384842 is about 366.8860701579.

The spelling of 49384842 in words is "forty-nine million, three hundred eighty-four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 113 169 226 338 339 431 507 678 862 1014 1293 1469 2586 2938 4407 5603 8814 11206 16809 19097 33618 38194 48703 57291 72839 97406 114582 145678 146109 218517 292218 437034 633139 1266278 1899417 3798834 8230807 16461614 24692421 49384842