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41424384 = 293149181
BaseRepresentation
bin1001111000000…
…1011000000000
32212221120120110
42132001120000
541101040014
64035511320
71012046541
oct236013000
985846513
1041424384
1121423831
1211a58540
138774c91
1457044c8
153983d59
hex2781600

41424384 has 80 divisors (see below), whose sum is σ = 111711600. Its totient is φ = 13639680.

The previous prime is 41424379. The next prime is 41424407. The reversal of 41424384 is 48342414.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228774 + ... + 228954.

It is an arithmetic number, because the mean of its divisors is an integer number (1396395).

Almost surely, 241424384 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 41424384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55855800).

41424384 is an abundant number, since it is smaller than the sum of its proper divisors (70287216).

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

41424384 is a wasteful number, since it uses less digits than its factorization.

41424384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 335 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 41424384 is about 6436.1777477009. The cubic root of 41424384 is about 346.0073728479.

Adding to 41424384 its reverse (48342414), we get a palindrome (89766798).

The spelling of 41424384 in words is "forty-one million, four hundred twenty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 181 192 256 298 362 384 447 512 543 596 724 768 894 1086 1192 1448 1536 1788 2172 2384 2896 3576 4344 4768 5792 7152 8688 9536 11584 14304 17376 19072 23168 26969 28608 34752 38144 46336 53938 57216 69504 76288 80907 92672 107876 114432 139008 161814 215752 228864 278016 323628 431504 647256 863008 1294512 1726016 2589024 3452032 5178048 6904064 10356096 13808128 20712192 41424384