Search a number
-
+
49909000 = 2353291721
BaseRepresentation
bin1011111001100…
…0110100001000
310110220122021111
42332120310020
5100234042000
64541420104
71144135201
oct276306410
9113818244
1049909000
1126199409
121486a634
13a455b6b
1468b25a8
1545accba
hex2f98d08

49909000 has 64 divisors (see below), whose sum is σ = 120884400. Its totient is φ = 19264000.

The previous prime is 49908997. The next prime is 49909003. The reversal of 49909000 is 90994.

It is an interprime number because it is at equal distance from previous prime (49908997) and next prime (49909003).

It can be written as a sum of positive squares in 8 ways, for example, as 4831204 + 45077796 = 2198^2 + 6714^2 .

It is not an unprimeable number, because it can be changed into a prime (49909003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28140 + ... + 29860.

Almost surely, 249909000 is an apocalyptic number.

49909000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49909000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60442200).

49909000 is an abundant number, since it is smaller than the sum of its proper divisors (70975400).

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

49909000 is a wasteful number, since it uses less digits than its factorization.

49909000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 31.

The square root of 49909000 is about 7064.6302097137. The cubic root of 49909000 is about 368.1795162271.

Adding to 49909000 its reverse (90994), we get a palindrome (49999994).

The spelling of 49909000 in words is "forty-nine million, nine hundred nine thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 1721 2900 3442 3625 5800 6884 7250 8605 13768 14500 17210 29000 34420 43025 49909 68840 86050 99818 172100 199636 215125 249545 344200 399272 430250 499090 860500 998180 1247725 1721000 1996360 2495450 4990900 6238625 9981800 12477250 24954500 49909000