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41085268 = 22723131487
BaseRepresentation
bin1001110010111…
…0100101010100
32212022100101121
42130232211110
541004212033
64024333324
71006135060
oct234564524
985270347
1041085268
1121211a74
1211914244
138686813
145656aa0
15391862d
hex272e954

41085268 has 48 divisors (see below), whose sum is σ = 86575104. Its totient is φ = 16679520.

The previous prime is 41085241. The next prime is 41085307. The reversal of 41085268 is 86258014.

41085268 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, 84121 + ... + 84607.

It is an arithmetic number, because the mean of its divisors is an integer number (1803648).

Almost surely, 241085268 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 41085268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43287552).

41085268 is an abundant number, since it is smaller than the sum of its proper divisors (45489836).

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

41085268 is a wasteful number, since it uses less digits than its factorization.

41085268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 41085268 is about 6409.7790913572. The cubic root of 41085268 is about 345.0606012707.

The spelling of 41085268 in words is "forty-one million, eighty-five thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 23 28 46 92 131 161 262 322 487 524 644 917 974 1834 1948 3013 3409 3668 6026 6818 11201 12052 13636 21091 22402 42182 44804 63797 78407 84364 127594 156814 255188 313628 446579 893158 1467331 1786316 2934662 5869324 10271317 20542634 41085268