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12042656 = 251929683
BaseRepresentation
bin101101111100…
…000110100000
3211122211102022
4231330012200
511040331111
61110041012
7204234533
oct55740640
924584368
1012042656
11688590a
124049168
132658542
141856a1a
1510cd2db
hexb7c1a0

12042656 has 48 divisors (see below), whose sum is σ = 25855200. Its totient is φ = 5499648.

The previous prime is 12042619. The next prime is 12042659. The reversal of 12042656 is 65624021.

It is not an unprimeable number, because it can be changed into a prime (12042659) 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 7 ways as a sum of consecutive naturals, for example, 17291 + ... + 17973.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 212042656 is an apocalyptic number.

12042656 is a gapful number since it is divisible by the number (16) 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 12042656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12927600).

12042656 is an abundant number, since it is smaller than the sum of its proper divisors (13812544).

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

12042656 is a wasteful number, since it uses less digits than its factorization.

12042656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 12042656 is about 3470.2530167122. The cubic root of 12042656 is about 229.2137995543.

Adding to 12042656 its reverse (65624021), we get a palindrome (77666677).

The spelling of 12042656 in words is "twelve million, forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 19 29 32 38 58 76 116 152 232 304 464 551 608 683 928 1102 1366 2204 2732 4408 5464 8816 10928 12977 17632 19807 21856 25954 39614 51908 79228 103816 158456 207632 316912 376333 415264 633824 752666 1505332 3010664 6021328 12042656