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12441492 = 2233722351
BaseRepresentation
bin101111011101…
…011110010100
3212102002112000
4233131132110
511141111432
61122355300
7210515400
oct57353624
925362460
1012441492
117028528
1241bbb30
132767c3b
14191c100
15115b57c
hexbdd794

12441492 has 72 divisors (see below), whose sum is σ = 37537920. Its totient is φ = 3553200.

The previous prime is 12441479. The next prime is 12441497. The reversal of 12441492 is 29414421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12441497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4117 + ... + 6467.

It is an arithmetic number, because the mean of its divisors is an integer number (521360).

Almost surely, 212441492 is an apocalyptic number.

12441492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

12441492 is the 1764-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12441492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18768960).

12441492 is an abundant number, since it is smaller than the sum of its proper divisors (25096428).

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

12441492 is a wasteful number, since it uses less digits than its factorization.

12441492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2363 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 12441492 is about 3527.2499202637. The cubic root of 12441492 is about 231.7167818247.

It can be divided in two parts, 124 and 41492, that added together give a triangular number (41616 = T288).

The spelling of 12441492 in words is "twelve million, four hundred forty-one thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2351 2646 4702 5292 7053 9404 14106 16457 21159 28212 32914 42318 49371 63477 65828 84636 98742 115199 126954 148113 197484 230398 253908 296226 345597 444339 460796 592452 691194 888678 1036791 1382388 1777356 2073582 3110373 4147164 6220746 12441492