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41198080 = 295711219
BaseRepresentation
bin1001110100101…
…0001000000000
32212112002010211
42131022020000
541021314310
64031003504
71010115010
oct235121000
985462124
1041198080
1121289800
1211969594
1386c5c81
145685c40
15393bc8a
hex274a200

41198080 has 240 divisors, whose sum is σ = 130616640. Its totient is φ = 12165120.

The previous prime is 41198063. The next prime is 41198081. The reversal of 41198080 is 8089114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41198081) 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, 2168311 + ... + 2168329.

It is an arithmetic number, because the mean of its divisors is an integer number (544236).

Almost surely, 241198080 is an apocalyptic number.

41198080 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 41198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65308320).

41198080 is an abundant number, since it is smaller than the sum of its proper divisors (89418560).

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

41198080 is a wasteful number, since it uses less digits than its factorization.

41198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 41198080 is about 6418.5730501413. The cubic root of 41198080 is about 345.3761353141.

The spelling of 41198080 in words is "forty-one million, one hundred ninety-eight thousand, eighty".