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25212416 = 29232141
BaseRepresentation
bin110000000101…
…1011000000000
31202102220221012
41200023120000
522423244131
62300220052
7424205405
oct140133000
952386835
1025212416
1113260509
12853a628
1352b9ab8
1434c42ac
15233052b
hex180b600

25212416 has 40 divisors (see below), whose sum is σ = 52590384. Its totient is φ = 12052480.

The previous prime is 25212413. The next prime is 25212433. The reversal of 25212416 is 61421252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 25212391 and 25212400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25212413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10706 + ... + 12846.

Almost surely, 225212416 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 25212416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26295192).

25212416 is an abundant number, since it is smaller than the sum of its proper divisors (27377968).

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

25212416 is an equidigital number, since it uses as much as digits as its factorization.

25212416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2166 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 25212416 is about 5021.1966701176. The cubic root of 25212416 is about 293.2275835519.

Adding to 25212416 its reverse (61421252), we get a palindrome (86633668).

The spelling of 25212416 in words is "twenty-five million, two hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 736 1472 2141 2944 4282 5888 8564 11776 17128 34256 49243 68512 98486 137024 196972 274048 393944 548096 787888 1096192 1575776 3151552 6303104 12606208 25212416