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12881152 = 2867751
BaseRepresentation
bin110001001000…
…110100000000
3220020102121201
4301020310000
511244144102
61140030544
7214326244
oct61106400
926212551
1012881152
1172a8889
124392454
1328900ab
1419d4424
1511e6987
hexc48d00

12881152 has 36 divisors (see below), whose sum is σ = 26130496. Its totient is φ = 6336000.

The previous prime is 12881137. The next prime is 12881161. The reversal of 12881152 is 25118821.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12881152.

It is a congruent number.

It is an unprimeable number.

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, 16777 + ... + 17527.

Almost surely, 212881152 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 12881152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13065248).

12881152 is an abundant number, since it is smaller than the sum of its proper divisors (13249344).

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

12881152 is an frugal number, since it uses more digits than its factorization.

12881152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 820 counting only the distinct ones).

The product of its digits is 1280, while the sum is 28.

The square root of 12881152 is about 3589.0321815219. The cubic root of 12881152 is about 234.4147319190.

Adding to 12881152 its reverse (25118821), we get a palindrome (37999973).

The spelling of 12881152 in words is "twelve million, eight hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 536 751 1072 1502 2144 3004 4288 6008 8576 12016 17152 24032 48064 50317 96128 100634 192256 201268 402536 805072 1610144 3220288 6440576 12881152