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41082192 = 2432319203
BaseRepresentation
bin1001110010110…
…1110101010000
32212022012011200
42130231311100
541004112232
64024311200
71006123104
oct234556520
985265150
1041082192
112120a728
1211912500
1386852b8
145655904
15391777c
hex272dd50

41082192 has 60 divisors (see below), whose sum is σ = 118694784. Its totient is φ = 13250880.

The previous prime is 41082179. The next prime is 41082203. The reversal of 41082192 is 29128014.

41082192 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 11 ways as a sum of consecutive naturals, for example, 138 + ... + 9065.

Almost surely, 241082192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41082192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59347392).

41082192 is an abundant number, since it is smaller than the sum of its proper divisors (77612592).

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

41082192 is a wasteful number, since it uses less digits than its factorization.

41082192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9248 (or 9239 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 41082192 is about 6409.5391409991. The cubic root of 41082192 is about 345.0519896446.

The spelling of 41082192 in words is "forty-one million, eighty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 9203 18406 27609 36812 55218 73624 82827 110436 147248 165654 220872 285293 331308 441744 570586 662616 855879 1141172 1325232 1711758 2282344 2567637 3423516 4564688 5135274 6847032 10270548 13694064 20541096 41082192