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41082336 = 2533172797
BaseRepresentation
bin1001110010110…
…1110111100000
32212022012101000
42130231313200
541004113321
64024312000
71006123401
oct234556740
985265330
1041082336
112120a849
1211912600
138685399
1456559a8
153917826
hex272dde0

41082336 has 96 divisors (see below), whose sum is σ = 126917280. Its totient is φ = 12883968.

The previous prime is 41082289. The next prime is 41082337. The reversal of 41082336 is 63328014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41082337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13290 + ... + 16086.

It is an arithmetic number, because the mean of its divisors is an integer number (1322055).

Almost surely, 241082336 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 41082336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63458640).

41082336 is an abundant number, since it is smaller than the sum of its proper divisors (85834944).

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

41082336 is a wasteful number, since it uses less digits than its factorization.

41082336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 41082336 is about 6409.5503742462. The cubic root of 41082336 is about 345.0523927992.

The spelling of 41082336 in words is "forty-one million, eighty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 2797 3672 4896 5594 7344 8391 11188 14688 16782 22376 25173 33564 44752 47549 50346 67128 75519 89504 95098 100692 134256 142647 151038 190196 201384 268512 285294 302076 380392 402768 427941 570588 604152 760784 805536 855882 1141176 1208304 1283823 1521568 1711764 2282352 2416608 2567646 3423528 4564704 5135292 6847056 10270584 13694112 20541168 41082336