Search a number
-
+
49322406 = 23717371867
BaseRepresentation
bin1011110000100…
…1100110100110
310102210211121210
42330021212212
5100111304111
64521052250
71136143050
oct274114646
9112724553
1049322406
1125928721
1214627086
13a2abb73
14679c8d0
1544e40a6
hex2f099a6

49322406 has 64 divisors (see below), whose sum is σ = 122660352. Its totient is φ = 12897792.

The previous prime is 49322393. The next prime is 49322431. The reversal of 49322406 is 60422394.

49322406 = T196 + T197 + ... + T671.

49322406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 25485 + ... + 27351.

It is an arithmetic number, because the mean of its divisors is an integer number (1916568).

Almost surely, 249322406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49322406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61330176).

49322406 is an abundant number, since it is smaller than the sum of its proper divisors (73337946).

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

49322406 is a wasteful number, since it uses less digits than its factorization.

49322406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933.

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 49322406 is about 7022.9912430531. The cubic root of 49322406 is about 366.7313900437.

The spelling of 49322406 in words is "forty-nine million, three hundred twenty-two thousand, four hundred six".

Divisors: 1 2 3 6 7 14 17 21 34 37 42 51 74 102 111 119 222 238 259 357 518 629 714 777 1258 1554 1867 1887 3734 3774 4403 5601 8806 11202 13069 13209 26138 26418 31739 39207 63478 69079 78414 95217 138158 190434 207237 222173 414474 444346 483553 666519 967106 1174343 1333038 1450659 2348686 2901318 3523029 7046058 8220401 16440802 24661203 49322406