Search a number
-
+
55345050 = 23252294241
BaseRepresentation
bin1101001100011…
…1111110011010
310212010211010200
43103013332122
5103132020200
65254123030
71241265555
oct323077632
9125124120
1055345050
1129271612
1216650476
13b60a267
1474c969c
154cd3800
hex34c7f9a

55345050 has 72 divisors (see below), whose sum is σ = 153857340. Its totient is φ = 14246400.

The previous prime is 55345049. The next prime is 55345051. The reversal of 55345050 is 5054355.

It is an interprime number because it is at equal distance from previous prime (55345049) and next prime (55345051).

It can be written as a sum of positive squares in 6 ways, for example, as 38526849 + 16818201 = 6207^2 + 4101^2 .

It is not an unprimeable number, because it can be changed into a prime (55345051) 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, 10930 + ... + 15170.

Almost surely, 255345050 is an apocalyptic number.

55345050 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 55345050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76928670).

55345050 is an abundant number, since it is smaller than the sum of its proper divisors (98512290).

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

55345050 is a wasteful number, since it uses less digits than its factorization.

55345050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4288 (or 4280 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 55345050 is about 7439.4253810358. The cubic root of 55345050 is about 381.0888667817.

The spelling of 55345050 in words is "fifty-five million, three hundred forty-five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 145 150 174 225 261 290 435 450 522 725 870 1305 1450 2175 2610 4241 4350 6525 8482 12723 13050 21205 25446 38169 42410 63615 76338 106025 122989 127230 190845 212050 245978 318075 368967 381690 614945 636150 737934 954225 1106901 1229890 1844835 1908450 2213802 3074725 3689670 5534505 6149450 9224175 11069010 18448350 27672525 55345050