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40641100 = 22521972063
BaseRepresentation
bin1001101100001…
…0001001001100
32211110210002221
42123002021030
540401003400
64011025124
71002305113
oct233021114
984423087
1040641100
1120a39295
121173b1a4
13855c5b6
14557cc7a
15387bc1a
hex26c224c

40641100 has 36 divisors (see below), whose sum is σ = 88681824. Its totient is φ = 16166080.

The previous prime is 40641079. The next prime is 40641109. The reversal of 40641100 is 114604.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40641109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18669 + ... + 20731.

It is an arithmetic number, because the mean of its divisors is an integer number (2463384).

Almost surely, 240641100 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 40641100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44340912).

40641100 is an abundant number, since it is smaller than the sum of its proper divisors (48040724).

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

40641100 is a wasteful number, since it uses less digits than its factorization.

40641100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 40641100 is about 6375.0372547931. The cubic root of 40641100 is about 343.8126233015.

Adding to 40641100 its reverse (114604), we get a palindrome (40755704).

The spelling of 40641100 in words is "forty million, six hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 197 394 788 985 1970 2063 3940 4126 4925 8252 9850 10315 19700 20630 41260 51575 103150 206300 406411 812822 1625644 2032055 4064110 8128220 10160275 20320550 40641100