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41143488 = 263421509
BaseRepresentation
bin1001110011110…
…0110011000000
32212102022020220
42130330303000
541013042423
64025503040
71006466601
oct234746300
985368226
1041143488
1121251791
1211941a80
1386a7179
14566dda8
15392a9e3
hex273ccc0

41143488 has 56 divisors (see below), whose sum is σ = 109331760. Its totient is φ = 13655040.

The previous prime is 41143483. The next prime is 41143499. The reversal of 41143488 is 88434114.

It is a super-4 number, since 4×411434884 (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (41143483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80578 + ... + 81086.

Almost surely, 241143488 is an apocalyptic number.

41143488 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 41143488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54665880).

41143488 is an abundant number, since it is smaller than the sum of its proper divisors (68188272).

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

41143488 is a wasteful number, since it uses less digits than its factorization.

41143488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 935 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 41143488 is about 6414.3189817782. The cubic root of 41143488 is about 345.2235140566.

The spelling of 41143488 in words is "forty-one million, one hundred forty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 421 509 842 1018 1263 1527 1684 2036 2526 3054 3368 4072 5052 6108 6736 8144 10104 12216 13472 16288 20208 24432 26944 32576 40416 48864 80832 97728 214289 428578 642867 857156 1285734 1714312 2571468 3428624 5142936 6857248 10285872 13714496 20571744 41143488