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40418100 = 22325244909
BaseRepresentation
bin1001101000101…
…1101100110100
32211001110012200
42122023230310
540321334400
64002144500
71000356012
oct232135464
984043180
1040418100
11208a6798
1211652130
1384b1c48
1455218b2
153835b00
hex268bb34

40418100 has 54 divisors (see below), whose sum is σ = 126691110. Its totient is φ = 10777920.

The previous prime is 40418093. The next prime is 40418113. The reversal of 40418100 is 181404.

40418100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 197136 + 40220964 = 444^2 + 6342^2 .

It is a super-2 number, since 2×404181002 = 3267245615220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 21555 + ... + 23354.

Almost surely, 240418100 is an apocalyptic number.

It is an amenable number.

40418100 is an abundant number, since it is smaller than the sum of its proper divisors (86273010).

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

40418100 is a wasteful number, since it uses less digits than its factorization.

40418100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44929 (or 44919 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 40418100 is about 6357.5231025927. The cubic root of 40418100 is about 343.1826298934.

Adding to 40418100 its reverse (181404), we get a palindrome (40599504).

The spelling of 40418100 in words is "forty million, four hundred eighteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 44909 89818 134727 179636 224545 269454 404181 449090 538908 673635 808362 898180 1122725 1347270 1616724 2020905 2245450 2694540 3368175 4041810 4490900 6736350 8083620 10104525 13472700 20209050 40418100