Search a number
-
+
506541150 = 232521125647
BaseRepresentation
bin11110001100010…
…011010001011110
31022022010221211100
4132030103101132
52014133304100
6122132533530
715360346233
oct3614232136
91268127740
10506541150
1123aa24955
121217812a6
1380c354bb
144b3b978a
152e70b400
hex1e31345e

506541150 has 36 divisors (see below), whose sum is σ = 1360908432. Its totient is φ = 135077520.

The previous prime is 506541131. The next prime is 506541169. The reversal of 506541150 is 51145605.

It is a happy number.

506541150 is a `hidden beast` number, since 5 + 0 + 654 + 1 + 1 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (506541131) and next prime (506541169).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 562374 + ... + 563273.

It is an arithmetic number, because the mean of its divisors is an integer number (37803012).

Almost surely, 2506541150 is an apocalyptic number.

506541150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

506541150 is an abundant number, since it is smaller than the sum of its proper divisors (854367282).

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

506541150 is a wasteful number, since it uses less digits than its factorization.

506541150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125665 (or 1125657 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 506541150 is about 22506.4690700252. The cubic root of 506541150 is about 797.1466842942.

Adding to 506541150 its reverse (51145605), we get a palindrome (557686755).

The spelling of 506541150 in words is "five hundred six million, five hundred forty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 1125647 2251294 3376941 5628235 6753882 10130823 11256470 16884705 20261646 28141175 33769410 50654115 56282350 84423525 101308230 168847050 253270575 506541150