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25380216 = 233453739
BaseRepresentation
bin110000011010…
…0010101111000
31202202110010000
41200310111320
522444131331
62303553000
7425504541
oct140642570
952673100
1025380216
1113365594
1285bb760
1353482a4
1435294c8
1523650e6
hex1834578

25380216 has 80 divisors (see below), whose sum is σ = 72527400. Its totient is φ = 8289216.

The previous prime is 25380211. The next prime is 25380217. The reversal of 25380216 is 61208352.

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

It is a self number, because there is not a number n which added to its sum of digits gives 25380216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25380211) 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 19 ways as a sum of consecutive naturals, for example, 33975 + ... + 34713.

Almost surely, 225380216 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 25380216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36263700).

25380216 is an abundant number, since it is smaller than the sum of its proper divisors (47147184).

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

25380216 is a wasteful number, since it uses less digits than its factorization.

25380216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 25380216 is about 5037.8781247664. The cubic root of 25380216 is about 293.8766663026.

Adding to 25380216 its reverse (61208352), we get a palindrome (86588568).

The spelling of 25380216 in words is "twenty-five million, three hundred eighty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 318 324 424 477 636 648 739 954 1272 1431 1478 1908 2217 2862 2956 3816 4293 4434 5724 5912 6651 8586 8868 11448 13302 17172 17736 19953 26604 34344 39167 39906 53208 59859 78334 79812 117501 119718 156668 159624 235002 239436 313336 352503 470004 478872 705006 940008 1057509 1410012 2115018 2820024 3172527 4230036 6345054 8460072 12690108 25380216