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12895452 = 223217191109
BaseRepresentation
bin110001001100…
…010011011100
3220021011020100
4301030103130
511300123302
61140221100
7214416033
oct61142334
926234210
1012895452
1173085a9
12439a790
13289675b
1419d971a
1511ead1c
hexc4c4dc

12895452 has 72 divisors (see below), whose sum is σ = 36363600. Its totient is φ = 3829248.

The previous prime is 12895451. The next prime is 12895457. The reversal of 12895452 is 25459821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12895451) 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 23 ways as a sum of consecutive naturals, for example, 11074 + ... + 12182.

It is an arithmetic number, because the mean of its divisors is an integer number (505050).

Almost surely, 212895452 is an apocalyptic number.

12895452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12895452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18181800).

12895452 is an abundant number, since it is smaller than the sum of its proper divisors (23468148).

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

12895452 is a wasteful number, since it uses less digits than its factorization.

12895452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1150 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 12895452 is about 3591.0238094449. The cubic root of 12895452 is about 234.5014449442.

The spelling of 12895452 in words is "twelve million, eight hundred ninety-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 1109 1292 1938 2218 2907 3327 3876 4436 5814 6654 9981 11628 13308 18853 19962 21071 37706 39924 42142 56559 63213 75412 84284 113118 126426 169677 189639 226236 252852 339354 358207 379278 678708 716414 758556 1074621 1432828 2149242 3223863 4298484 6447726 12895452