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41384466 = 2337989109
BaseRepresentation
bin1001110111011…
…1101000010010
32212212112211000
42131313220102
541043300331
64035002430
71011522264
oct235675022
985775730
1041384466
11213a6842
1211a39416
13875ca66
1456d3b34
1539770e6
hex2777a12

41384466 has 64 divisors (see below), whose sum is σ = 95040000. Its totient is φ = 13343616.

The previous prime is 41384449. The next prime is 41384491. The reversal of 41384466 is 66448314.

It is a super-2 number, since 2×413844662 = 3425348052210312, which contains 22 as substring.

Its product of digits (55296) is a multiple of the sum of its prime factors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 41384466.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379620 + ... + 379728.

It is an arithmetic number, because the mean of its divisors is an integer number (1485000).

Almost surely, 241384466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41384466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47520000).

41384466 is an abundant number, since it is smaller than the sum of its proper divisors (53655534).

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

41384466 is a wasteful number, since it uses less digits than its factorization.

41384466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 41384466 is about 6433.0759361288. The cubic root of 41384466 is about 345.8961954856.

The spelling of 41384466 in words is "forty-one million, three hundred eighty-four thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 79 89 109 158 178 218 237 267 327 474 534 654 711 801 981 1422 1602 1962 2133 2403 2943 4266 4806 5886 7031 8611 9701 14062 17222 19402 21093 25833 29103 42186 51666 58206 63279 77499 87309 126558 154998 174618 189837 232497 261927 379674 464994 523854 766379 1532758 2299137 4598274 6897411 13794822 20692233 41384466