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41728080 = 2435173867
BaseRepresentation
bin1001111100101…
…1100001010000
32220112000011110
42133023201100
541140244310
64050213320
71014453132
oct237134120
986460143
1041728080
1121610a19
1211b84240
138850294
145783052
1539e3d20
hex27cb850

41728080 has 40 divisors (see below), whose sum is σ = 129357792. Its totient is φ = 11127424.

The previous prime is 41728079. The next prime is 41728091. The reversal of 41728080 is 8082714.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86694 + ... + 87173.

Almost surely, 241728080 is an apocalyptic number.

41728080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41728080 is an abundant number, since it is smaller than the sum of its proper divisors (87629712).

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

41728080 is a wasteful number, since it uses less digits than its factorization.

41728080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173883 (or 173877 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 41728080 is about 6459.7275484342. The cubic root of 41728080 is about 346.8508800695.

The spelling of 41728080 in words is "forty-one million, seven hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 173867 347734 521601 695468 869335 1043202 1390936 1738670 2086404 2608005 2781872 3477340 4172808 5216010 6954680 8345616 10432020 13909360 20864040 41728080