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40826106 = 234252013
BaseRepresentation
bin1001101110111…
…1010011111010
32211211011220000
42123233103322
540422413411
64015013430
71004005356
oct233572372
984734800
1040826106
1121055292
121180a276
1385c5879
1455ca466
1538b6956
hex26ef4fa

40826106 has 20 divisors (see below), whose sum is σ = 91481082. Its totient is φ = 13608648.

The previous prime is 40826089. The next prime is 40826111. The reversal of 40826106 is 60162804.

40826106 is a `hidden beast` number, since 40 + 8 + 2 + 610 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20657025 + 20169081 = 4545^2 + 4491^2 .

It is a super-2 number, since 2×408261062 = 3333541862246472, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 40826106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 125845 + ... + 126168.

Almost surely, 240826106 is an apocalyptic number.

40826106 is an abundant number, since it is smaller than the sum of its proper divisors (50654976).

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

40826106 is a wasteful number, since it uses less digits than its factorization.

40826106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252027 (or 252018 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 40826106 is about 6389.5309687018. The cubic root of 40826106 is about 344.3335337747. Note that the first 3 decimals are identical.

The spelling of 40826106 in words is "forty million, eight hundred twenty-six thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 252013 504026 756039 1512078 2268117 4536234 6804351 13608702 20413053 40826106