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12252576 = 253718233
BaseRepresentation
bin101110101111…
…010110100000
3212001111101010
4232233112200
511114040301
61114340520
7206100540
oct56572640
925044333
1012252576
116a095a6
12412a740
1326ccc5b
1418ad320
1511205d6
hexbaf5a0

12252576 has 48 divisors (see below), whose sum is σ = 36759744. Its totient is φ = 3500544.

The previous prime is 12252551. The next prime is 12252599. The reversal of 12252576 is 67525221.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 8445 + ... + 9788.

It is an arithmetic number, because the mean of its divisors is an integer number (765828).

Almost surely, 212252576 is an apocalyptic number.

12252576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12252576 is an abundant number, since it is smaller than the sum of its proper divisors (24507168).

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

12252576 is a wasteful number, since it uses less digits than its factorization.

12252576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18253 (or 18245 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 12252576 is about 3500.3679806557. The cubic root of 12252576 is about 230.5379719519.

Adding to 12252576 its reverse (67525221), we get a palindrome (79777797).

The spelling of 12252576 in words is "twelve million, two hundred fifty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 18233 36466 54699 72932 109398 127631 145864 218796 255262 291728 382893 437592 510524 583456 765786 875184 1021048 1531572 1750368 2042096 3063144 4084192 6126288 12252576