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40582825 = 5217241137
BaseRepresentation
bin1001101011001…
…1111010101001
32211100211011121
42122303322221
540342122300
64005455241
71001643163
oct232637251
984324147
1040582825
11209a9528
1211711521
13853bc0a
145565933
15386981a
hex26b3ea9

40582825 has 36 divisors (see below), whose sum is σ = 55160532. Its totient is φ = 29593600.

The previous prime is 40582823. The next prime is 40582831. The reversal of 40582825 is 52828504.

It can be written as a sum of positive squares in 18 ways, for example, as 23707161 + 16875664 = 4869^2 + 4108^2 .

It is not a de Polignac number, because 40582825 - 21 = 40582823 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40582823) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 296157 + ... + 296293.

It is an arithmetic number, because the mean of its divisors is an integer number (1532237).

Almost surely, 240582825 is an apocalyptic number.

It is an amenable number.

40582825 is a deficient number, since it is larger than the sum of its proper divisors (14577707).

40582825 is a wasteful number, since it uses less digits than its factorization.

40582825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 40582825 is about 6370.4650536676. The cubic root of 40582825 is about 343.6482144920.

The spelling of 40582825 in words is "forty million, five hundred eighty-two thousand, eight hundred twenty-five".

Divisors: 1 5 17 25 41 85 137 205 289 425 685 697 1025 1445 2329 3425 3485 5617 7225 11645 11849 17425 28085 39593 58225 59245 95489 140425 197965 296225 477445 989825 1623313 2387225 8116565 40582825