Search a number
-
+
25414506 = 2331341883
BaseRepresentation
bin110000011110…
…0101101101010
31202211012011000
41200330231222
523001231011
62304415430
7426006525
oct140745552
952735130
1025414506
1113389327
128617576
13535aa90
143537bbc
152370356
hex183cb6a

25414506 has 64 divisors (see below), whose sum is σ = 62375040. Its totient is φ = 7620480.

The previous prime is 25414481. The next prime is 25414531. The reversal of 25414506 is 60541452.

It is an interprime number because it is at equal distance from previous prime (25414481) and next prime (25414531).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 25414506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28341 + ... + 29223.

It is an arithmetic number, because the mean of its divisors is an integer number (974610).

Almost surely, 225414506 is an apocalyptic number.

25414506 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 25414506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31187520).

25414506 is an abundant number, since it is smaller than the sum of its proper divisors (36960534).

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

25414506 is a wasteful number, since it uses less digits than its factorization.

25414506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 942 counting only the distinct ones).

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

The square root of 25414506 is about 5041.2801945538. The cubic root of 25414506 is about 294.0089543295.

Adding to 25414506 its reverse (60541452), we get a palindrome (85955958).

The spelling of 25414506 in words is "twenty-five million, four hundred fourteen thousand, five hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 78 82 117 123 234 246 351 369 533 702 738 883 1066 1107 1599 1766 2214 2649 3198 4797 5298 7947 9594 11479 14391 15894 22958 23841 28782 34437 36203 47682 68874 72406 103311 108609 206622 217218 309933 325827 470639 619866 651654 941278 977481 1411917 1954962 2823834 4235751 8471502 12707253 25414506