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41145400 = 2352409503
BaseRepresentation
bin1001110011110…
…1010000111000
32212102101212201
42130331100320
541013123100
64025515544
71006505302
oct234752070
985371781
1041145400
112125316a
1211942bb4
1386a7cba
145670972
15392b36a
hex273d438

41145400 has 48 divisors (see below), whose sum is σ = 96087600. Its totient is φ = 16385280.

The previous prime is 41145373. The next prime is 41145449. The reversal of 41145400 is 454114.

41145400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81549 + ... + 82051.

It is an arithmetic number, because the mean of its divisors is an integer number (2001825).

Almost surely, 241145400 is an apocalyptic number.

41145400 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 41145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48043800).

41145400 is an abundant number, since it is smaller than the sum of its proper divisors (54942200).

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

41145400 is a wasteful number, since it uses less digits than its factorization.

41145400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 41145400 is about 6414.4680215899. The cubic root of 41145400 is about 345.2288616597.

Adding to 41145400 its reverse (454114), we get a palindrome (41599514).

The spelling of 41145400 in words is "forty-one million, one hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 409 503 818 1006 1636 2012 2045 2515 3272 4024 4090 5030 8180 10060 10225 12575 16360 20120 20450 25150 40900 50300 81800 100600 205727 411454 822908 1028635 1645816 2057270 4114540 5143175 8229080 10286350 20572700 41145400