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41882680 = 23571011481
BaseRepresentation
bin1001111111000…
…1010000111000
32220210212020101
42133301100320
541210221210
64053405144
71015665640
oct237612070
986725211
1041882680
1121707094
12120397b4
1388a5768
1457c3520
153a24a3a
hex27f1438

41882680 has 64 divisors (see below), whose sum is σ = 108838080. Its totient is φ = 14208000.

The previous prime is 41882639. The next prime is 41882693. The reversal of 41882680 is 8628814.

41882680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27540 + ... + 29020.

It is an arithmetic number, because the mean of its divisors is an integer number (1700595).

Almost surely, 241882680 is an apocalyptic number.

41882680 is a gapful number since it is divisible by the number (40) 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 41882680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54419040).

41882680 is an abundant number, since it is smaller than the sum of its proper divisors (66955400).

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

41882680 is a wasteful number, since it uses less digits than its factorization.

41882680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 41882680 is about 6471.6829341370. The cubic root of 41882680 is about 347.2787059566.

The spelling of 41882680 in words is "forty-one million, eight hundred eighty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 140 202 280 404 505 707 808 1010 1414 1481 2020 2828 2962 3535 4040 5656 5924 7070 7405 10367 11848 14140 14810 20734 28280 29620 41468 51835 59240 82936 103670 149581 207340 299162 414680 598324 747905 1047067 1196648 1495810 2094134 2991620 4188268 5235335 5983240 8376536 10470670 20941340 41882680