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41424896 = 211113179
BaseRepresentation
bin1001111000000…
…1100000000000
32212221121021102
42132001200000
541101044041
64035513532
71012051202
oct236014000
985847242
1041424896
1121424157
1211a588a8
138775296
145704772
15398409b
hex2781800

41424896 has 48 divisors (see below), whose sum is σ = 84029400. Its totient is φ = 20414464.

The previous prime is 41424893. The next prime is 41424899. The reversal of 41424896 is 69842414.

It is an interprime number because it is at equal distance from previous prime (41424893) and next prime (41424899).

It is a super-2 number, since 2×414248962 = 3432044017221632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41424893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 231335 + ... + 231513.

Almost surely, 241424896 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 41424896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42014700).

41424896 is an abundant number, since it is smaller than the sum of its proper divisors (42604504).

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

41424896 is a wasteful number, since it uses less digits than its factorization.

41424896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 294 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 41424896 is about 6436.2175227380. The cubic root of 41424896 is about 346.0087983774.

The spelling of 41424896 in words is "forty-one million, four hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 113 128 179 226 256 358 452 512 716 904 1024 1432 1808 2048 2864 3616 5728 7232 11456 14464 20227 22912 28928 40454 45824 57856 80908 91648 115712 161816 183296 231424 323632 366592 647264 1294528 2589056 5178112 10356224 20712448 41424896