Search a number
-
+
49949046 = 2327596719
BaseRepresentation
bin1011111010001…
…0100101110110
310110222200012200
42332202211312
5100241332141
64542325330
71144363020
oct276424566
9113880180
1049949046
1126216504
1214889846
13a46b164
1468c3010
1545b9ab6
hex2fa2976

49949046 has 48 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 14027184.

The previous prime is 49949041. The next prime is 49949059. The reversal of 49949046 is 64094994.

It is a junction number, because it is equal to n+sod(n) for n = 49948992 and 49949010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49949041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4075 + ... + 10793.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 249949046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49949046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

49949046 is an abundant number, since it is smaller than the sum of its proper divisors (75849354).

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

49949046 is a wasteful number, since it uses less digits than its factorization.

49949046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6793 (or 6790 counting only the distinct ones).

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

The square root of 49949046 is about 7067.4639015704. The cubic root of 49949046 is about 368.2779632354.

The spelling of 49949046 in words is "forty-nine million, nine hundred forty-nine thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 118 126 177 354 413 531 826 1062 1239 2478 3717 6719 7434 13438 20157 40314 47033 60471 94066 120942 141099 282198 396421 423297 792842 846594 1189263 2378526 2774947 3567789 5549894 7135578 8324841 16649682 24974523 49949046