Search a number
-
+
253114542 = 232192712731
BaseRepresentation
bin11110001011000…
…11100010101110
3122122021112212200
433011203202232
51004244131132
641041042330
76162303162
oct1705434256
9578245780
10253114542
1111a97077a
12709263a6
1340593225
142588aca2
151734bd7c
hexf1638ae

253114542 has 48 divisors (see below), whose sum is σ = 579621120. Its totient is φ = 79606800.

The previous prime is 253114531. The next prime is 253114549. The reversal of 253114542 is 245411352.

253114542 is a `hidden beast` number, since 2 + 5 + 3 + 114 + 542 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253114549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91317 + ... + 94047.

It is an arithmetic number, because the mean of its divisors is an integer number (12075440).

Almost surely, 2253114542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253114542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289810560).

253114542 is an abundant number, since it is smaller than the sum of its proper divisors (326506578).

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

253114542 is a wasteful number, since it uses less digits than its factorization.

253114542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029 (or 3026 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 253114542 is about 15909.5739100706. The cubic root of 253114542 is about 632.5657871340.

Adding to 253114542 its reverse (245411352), we get a palindrome (498525894).

The spelling of 253114542 in words is "two hundred fifty-three million, one hundred fourteen thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 271 342 542 813 1626 2439 2731 4878 5149 5462 8193 10298 15447 16386 24579 30894 46341 49158 51889 92682 103778 155667 311334 467001 740101 934002 1480202 2220303 4440606 6660909 13321818 14061919 28123838 42185757 84371514 126557271 253114542