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12192048 = 24321143179
BaseRepresentation
bin101110100000…
…100100110000
3211221102100100
4232200210300
511110121143
61113152400
7205426221
oct56404460
924842310
1012192048
116978080
1240bb700
1326ab53b
141895248
15110c6d3
hexba0930

12192048 has 120 divisors (see below), whose sum is σ = 38301120. Its totient is φ = 3588480.

The previous prime is 12192031. The next prime is 12192073. The reversal of 12192048 is 84029121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68023 + ... + 68201.

It is an arithmetic number, because the mean of its divisors is an integer number (319176).

Almost surely, 212192048 is an apocalyptic number.

12192048 is a gapful number since it is divisible by the number (18) 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 12192048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150560).

12192048 is an abundant number, since it is smaller than the sum of its proper divisors (26109072).

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

12192048 is a wasteful number, since it uses less digits than its factorization.

12192048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12192048 is about 3491.7113282744. The cubic root of 12192048 is about 230.1577242029.

The spelling of 12192048 in words is "twelve million, one hundred ninety-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 43 44 48 66 72 86 88 99 129 132 144 172 176 179 198 258 264 344 358 387 396 473 516 528 537 688 716 774 792 946 1032 1074 1419 1432 1548 1584 1611 1892 1969 2064 2148 2838 2864 3096 3222 3784 3938 4257 4296 5676 5907 6192 6444 7568 7697 7876 8514 8592 11352 11814 12888 15394 15752 17028 17721 22704 23091 23628 25776 30788 31504 34056 35442 46182 47256 61576 68112 69273 70884 84667 92364 94512 123152 138546 141768 169334 184728 254001 277092 283536 338668 369456 508002 554184 677336 762003 1016004 1108368 1354672 1524006 2032008 3048012 4064016 6096024 12192048