Search a number
-
+
51106050 = 232523372
BaseRepresentation
bin1100001011110…
…1000100000010
310120011110022200
43002331010002
5101040343200
65023214030
71160252142
oct302750402
9116143280
1051106050
1126936806
1215147316
13a784988
146b04922
154747800
hex30bd102

51106050 has 54 divisors (see below), whose sum is σ = 137713563. Its totient is φ = 13587840.

The previous prime is 51106039. The next prime is 51106051. The reversal of 51106050 is 5060115.

51106050 is a `hidden beast` number, since 51 + 10 + 605 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 7901721 + 43204329 = 2811^2 + 6573^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5055.

It is a super-2 number, since 2×511060502 = 5223656693205000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (51106051) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 151482 + ... + 151818.

Almost surely, 251106050 is an apocalyptic number.

51106050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51106050

51106050 is an abundant number, since it is smaller than the sum of its proper divisors (86607513).

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

51106050 is a wasteful number, since it uses less digits than its factorization.

51106050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 51106050 is about 7148.8495577960. The cubic root of 51106050 is about 371.0998440477.

Multiplying 51106050 by its sum of digits (18), we get a square (919908900 = 303302).

51106050 divided by its sum of digits (18) gives a square (2839225 = 16852).

Adding to 51106050 its reverse (5060115), we get a palindrome (56166165).

The spelling of 51106050 in words is "fifty-one million, one hundred six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 337 450 674 1011 1685 2022 3033 3370 5055 6066 8425 10110 15165 16850 25275 30330 50550 75825 113569 151650 227138 340707 567845 681414 1022121 1135690 1703535 2044242 2839225 3407070 5110605 5678450 8517675 10221210 17035350 25553025 51106050