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41392296 = 2334115807
BaseRepresentation
bin1001110111100…
…1100010101000
32212212221120000
42131321202220
541044023141
64035103000
71011554151
oct235714250
985787500
1041392296
1121401710
1211a41a60
1387634aa
1456d6928
1539795b6
hex27798a8

41392296 has 80 divisors (see below), whose sum is σ = 126498240. Its totient is φ = 12540960.

The previous prime is 41392291. The next prime is 41392303. The reversal of 41392296 is 69229314.

41392296 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 41392296.

It is not an unprimeable number, because it can be changed into a prime (41392291) 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 19 ways as a sum of consecutive naturals, for example, 4225 + ... + 10031.

It is an arithmetic number, because the mean of its divisors is an integer number (1581228).

Almost surely, 241392296 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 41392296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63249120).

41392296 is an abundant number, since it is smaller than the sum of its proper divisors (85105944).

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

41392296 is a wasteful number, since it uses less digits than its factorization.

41392296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5836 (or 5823 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 41392296 is about 6433.6844809176. The cubic root of 41392296 is about 345.9180087945.

The spelling of 41392296 in words is "forty-one million, three hundred ninety-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 3564 5807 7128 11614 17421 23228 34842 46456 52263 63877 69684 104526 127754 139368 156789 191631 209052 255508 313578 383262 418104 470367 511016 574893 627156 766524 940734 1149786 1254312 1533048 1724679 1881468 2299572 3449358 3762936 4599144 5174037 6898716 10348074 13797432 20696148 41392296