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41426336 = 257792341
BaseRepresentation
bin1001111000000…
…1110110100000
32212221200020202
42132001312200
541101120321
64035524332
71012055330
oct236016640
985850222
1041426336
1121425246
1211a596a8
138775b33
1457050c0
15398470b
hex2781da0

41426336 has 48 divisors (see below), whose sum is σ = 94429440. Its totient is φ = 17521920.

The previous prime is 41426311. The next prime is 41426339. The reversal of 41426336 is 63362414.

It is a super-2 number, since 2×414263362 = 3432282628769792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41426299 and 41426308.

It is not an unprimeable number, because it can be changed into a prime (41426339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16526 + ... + 18866.

It is an arithmetic number, because the mean of its divisors is an integer number (1967280).

Almost surely, 241426336 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 41426336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47214720).

41426336 is an abundant number, since it is smaller than the sum of its proper divisors (53003104).

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

41426336 is a wasteful number, since it uses less digits than its factorization.

41426336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2429 counting only the distinct ones).

The product of its digits is 10368, while the sum is 29.

The square root of 41426336 is about 6436.3293887122. The cubic root of 41426336 is about 346.0128076162.

The spelling of 41426336 in words is "forty-one million, four hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 553 632 1106 1264 2212 2341 2528 4424 4682 8848 9364 16387 17696 18728 32774 37456 65548 74912 131096 184939 262192 369878 524384 739756 1294573 1479512 2589146 2959024 5178292 5918048 10356584 20713168 41426336