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41332890 = 235431792
BaseRepresentation
bin1001110110101…
…1000010011010
32212202221001210
42131223002122
541040123030
64033523550
71011216024
oct235530232
985687053
1041332890
1121371015
1211a135b6
138742441
1456bd014
153966bb0
hex276b09a

41332890 has 48 divisors (see below), whose sum is σ = 102076128. Its totient is φ = 10705632.

The previous prime is 41332883. The next prime is 41332891. The reversal of 41332890 is 9823314.

41332890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (41332891) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 230821 + ... + 230999.

It is an arithmetic number, because the mean of its divisors is an integer number (2126586).

Almost surely, 241332890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41332890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51038064).

41332890 is an abundant number, since it is smaller than the sum of its proper divisors (60743238).

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

41332890 is a wasteful number, since it uses less digits than its factorization.

41332890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 41332890 is about 6429.0660285923. The cubic root of 41332890 is about 345.7524430093.

The spelling of 41332890 in words is "forty-one million, three hundred thirty-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 179 215 258 358 430 537 645 895 1074 1290 1790 2685 5370 7697 15394 23091 32041 38485 46182 64082 76970 96123 115455 160205 192246 230910 320410 480615 961230 1377763 2755526 4133289 6888815 8266578 13777630 20666445 41332890