Search a number
-
+
50390100 = 2234526221
BaseRepresentation
bin1100000000111…
…0010001010100
310111211002020000
43000032101110
5100344440400
65000011300
71151210625
oct300162124
9114732200
1050390100
1126497912
1214a60b30
13a593b37
146999a4c
154655600
hex300e454

50390100 has 90 divisors (see below), whose sum is σ = 163371054. Its totient is φ = 13435200.

The previous prime is 50390099. The next prime is 50390101. The reversal of 50390100 is 109305.

It is an interprime number because it is at equal distance from previous prime (50390099) and next prime (50390101).

It can be written as a sum of positive squares in 3 ways, for example, as 93636 + 50296464 = 306^2 + 7092^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50390101) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4990 + ... + 11210.

Almost surely, 250390100 is an apocalyptic number.

50390100 is a gapful number since it is divisible by the number (50) 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 50390100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81685527).

50390100 is an abundant number, since it is smaller than the sum of its proper divisors (112980954).

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

50390100 is a wasteful number, since it uses less digits than its factorization.

50390100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6247 (or 6231 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 50390100 is about 7098.5984532160. The cubic root of 50390100 is about 369.3587627174.

Adding to 50390100 its reverse (109305), we get a palindrome (50499405).

The spelling of 50390100 in words is "fifty million, three hundred ninety thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 6221 8100 12442 18663 24884 31105 37326 55989 62210 74652 93315 111978 124420 155525 167967 186630 223956 279945 311050 335934 373260 466575 503901 559890 622100 671868 839835 933150 1007802 1119780 1399725 1679670 1866300 2015604 2519505 2799450 3359340 4199175 5039010 5598900 8398350 10078020 12597525 16796700 25195050 50390100