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49045050 = 23252731493
BaseRepresentation
bin1011101100010…
…1111000111010
310102021202011100
42323011320322
5100023420200
64511112230
71133606325
oct273057072
9112252140
1049045050
11257592aa
1214512676
13a212852
1467297bc
15448bd00
hex2ec5e3a

49045050 has 72 divisors (see below), whose sum is σ = 133662204. Its totient is φ = 12890880.

The previous prime is 49045021. The next prime is 49045057. The reversal of 49045050 is 5054094.

It can be written as a sum of positive squares in 6 ways, for example, as 29517489 + 19527561 = 5433^2 + 4419^2 .

It is not an unprimeable number, because it can be changed into a prime (49045057) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32104 + ... + 33596.

Almost surely, 249045050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49045050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66831102).

49045050 is an abundant number, since it is smaller than the sum of its proper divisors (84617154).

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

49045050 is a wasteful number, since it uses less digits than its factorization.

49045050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 49045050 is about 7003.2171178680. The cubic root of 49045050 is about 366.0426806806.

The spelling of 49045050 in words is "forty-nine million, forty-five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 73 75 90 146 150 219 225 365 438 450 657 730 1095 1314 1493 1825 2190 2986 3285 3650 4479 5475 6570 7465 8958 10950 13437 14930 16425 22395 26874 32850 37325 44790 67185 74650 108989 111975 134370 217978 223950 326967 335925 544945 653934 671850 980901 1089890 1634835 1961802 2724725 3269670 4904505 5449450 8174175 9809010 16348350 24522525 49045050