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41426200 = 2352434817
BaseRepresentation
bin1001111000000…
…1110100011000
32212221200001201
42132001310120
541101114300
64035523544
71012055044
oct236016430
985850051
1041426200
1121425132
1211a595b4
138775a5a
145705024
15398466a
hex2781d18

41426200 has 48 divisors (see below), whose sum is σ = 98576280. Its totient is φ = 16181760.

The previous prime is 41426183. The next prime is 41426233. The reversal of 41426200 is 262414.

It is a super-2 number, since 2×414262002 = 3432260092880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6192 + ... + 11008.

Almost surely, 241426200 is an apocalyptic number.

41426200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41426200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49288140).

41426200 is an abundant number, since it is smaller than the sum of its proper divisors (57150080).

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

41426200 is a wasteful number, since it uses less digits than its factorization.

41426200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4876 (or 4867 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 41426200 is about 6436.3188236755. The cubic root of 41426200 is about 346.0124289698.

Adding to 41426200 its reverse (262414), we get a palindrome (41688614).

The spelling of 41426200 in words is "forty-one million, four hundred twenty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 4300 4817 8600 9634 19268 24085 38536 48170 96340 120425 192680 207131 240850 414262 481700 828524 963400 1035655 1657048 2071310 4142620 5178275 8285240 10356550 20713100 41426200