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41287488 = 26311113173
BaseRepresentation
bin1001110101111…
…1111101000000
32212200121210020
42131133331000
541032144423
64032533440
71010636454
oct235377500
985617706
1041287488
112133a9a0
12119b1280
138727888
1456aa664
1539584e3
hex275ff40

41287488 has 112 divisors (see below), whose sum is σ = 120920256. Its totient is φ = 12328960.

The previous prime is 41287481. The next prime is 41287529. The reversal of 41287488 is 88478214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41287481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238570 + ... + 238742.

Almost surely, 241287488 is an apocalyptic number.

41287488 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 41287488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60460128).

41287488 is an abundant number, since it is smaller than the sum of its proper divisors (79632768).

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

41287488 is a wasteful number, since it uses less digits than its factorization.

41287488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its digits is 114688, while the sum is 42.

The square root of 41287488 is about 6425.5340634067. The cubic root of 41287488 is about 345.6257996858.

The spelling of 41287488 in words is "forty-one million, two hundred eighty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 113 132 173 176 192 226 264 339 346 352 452 519 528 678 692 704 904 1038 1056 1243 1356 1384 1808 1903 2076 2112 2486 2712 2768 3616 3729 3806 4152 4972 5424 5536 5709 7232 7458 7612 8304 9944 10848 11072 11418 14916 15224 16608 19549 19888 21696 22836 29832 30448 33216 39098 39776 45672 58647 59664 60896 78196 79552 91344 117294 119328 121792 156392 182688 215039 234588 238656 312784 365376 430078 469176 625568 645117 860156 938352 1251136 1290234 1720312 1876704 2580468 3440624 3753408 5160936 6881248 10321872 13762496 20643744 41287488