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41281488 = 243453601
BaseRepresentation
bin1001110101111…
…0011111010000
32212200022120000
42131132133100
541032001423
64032450000
71010613123
oct235363720
985608500
1041281488
1121336436
12119a9900
138724c21
1456a83ba
153956843
hex275e7d0

41281488 has 100 divisors (see below), whose sum is σ = 121937508. Its totient is φ = 13478400.

The previous prime is 41281483. The next prime is 41281511. The reversal of 41281488 is 88418214.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 32353344 + 8928144 = 5688^2 + 2988^2 .

It is a super-2 number, since 2×412814882 = 3408322502988288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (41281483) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68388 + ... + 68988.

Almost surely, 241281488 is an apocalyptic number.

41281488 is a gapful number since it is divisible by the number (48) 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 41281488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60968754).

41281488 is an abundant number, since it is smaller than the sum of its proper divisors (80656020).

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

41281488 is a wasteful number, since it uses less digits than its factorization.

41281488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 659 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 41281488 is about 6425.0671591821. The cubic root of 41281488 is about 345.6090564756.

The spelling of 41281488 in words is "forty-one million, two hundred eighty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 318 324 424 432 477 601 636 648 848 954 1202 1272 1296 1431 1803 1908 2404 2544 2862 3606 3816 4293 4808 5409 5724 7212 7632 8586 9616 10818 11448 14424 16227 17172 21636 22896 28848 31853 32454 34344 43272 48681 63706 64908 68688 86544 95559 97362 127412 129816 191118 194724 254824 259632 286677 382236 389448 509648 573354 764472 778896 860031 1146708 1528944 1720062 2293416 2580093 3440124 4586832 5160186 6880248 10320372 13760496 20640744 41281488