Search a number
-
+
25713136 = 2431471103
BaseRepresentation
bin110001000010…
…1100111110000
31210101100210101
41202011213300
523040310021
62315042144
7431362261
oct142054760
953340711
1025713136
1113572729
128740354
135433997
1435b4968
1523cda91
hex18859f0

25713136 has 40 divisors (see below), whose sum is σ = 52568064. Its totient is φ = 12166080.

The previous prime is 25713133. The next prime is 25713139. The reversal of 25713136 is 63131752.

It is an interprime number because it is at equal distance from previous prime (25713133) and next prime (25713139).

It is a super-2 number, since 2×257131362 = 1322330725908992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25713131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22761 + ... + 23863.

Almost surely, 225713136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25713136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26284032).

25713136 is an abundant number, since it is smaller than the sum of its proper divisors (26854928).

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

25713136 is a wasteful number, since it uses less digits than its factorization.

25713136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1183 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 25713136 is about 5070.8121637466. The cubic root of 25713136 is about 295.1560449925.

Adding to 25713136 its reverse (63131752), we get a palindrome (88844888).

The spelling of 25713136 in words is "twenty-five million, seven hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 31 47 62 94 124 188 248 376 496 752 1103 1457 2206 2914 4412 5828 8824 11656 17648 23312 34193 51841 68386 103682 136772 207364 273544 414728 547088 829456 1607071 3214142 6428284 12856568 25713136