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40656100 = 2252406561
BaseRepresentation
bin1001101100010…
…1110011100100
32211111112200111
42123011303210
540401443400
64011222404
71002366622
oct233056344
984445614
1040656100
1120a49591
1211747a04
138566384
145584512
1538813ba
hex26c5ce4

40656100 has 18 divisors (see below), whose sum is σ = 88223954. Its totient is φ = 16262400.

The previous prime is 40656089. The next prime is 40656101. The reversal of 40656100 is 165604.

40656100 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 28224 + 40627876 = 168^2 + 6374^2 .

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (40656101) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 203181 + ... + 203380.

Almost surely, 240656100 is an apocalyptic number.

It is an amenable number.

40656100 is an abundant number, since it is smaller than the sum of its proper divisors (47567854).

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

40656100 is a wasteful number, since it uses less digits than its factorization.

40656100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406575 (or 406568 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 40656100 is about 6376.2136099726. The cubic root of 40656100 is about 343.8549167352.

The spelling of 40656100 in words is "forty million, six hundred fifty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 406561 813122 1626244 2032805 4065610 8131220 10164025 20328050 40656100