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41565015625 = 56722332
BaseRepresentation
bin100110101101011101…
…111100111001001001
310222021201220120100011
4212231131330321021
51140111121000000
631032242311521
73001006542400
oct465535747111
9128251816304
1041565015625
111669a405491
1280800585a1
133bc5389703
142024396637
1511340c52ba
hex9ad77ce49

41565015625 has 63 divisors (see below), whose sum is σ = 60698656641. Its totient is φ = 28379400000.

The previous prime is 41565015559. The next prime is 41565015647. The reversal of 41565015625 is 52651056514.

The square root of 41565015625 is 203875.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 22517703481 + 19047312144 = 150059^2 + 138012^2 .

It is not a de Polignac number, because 41565015625 - 27 = 41565015497 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 178390509 + ... + 178390741.

Almost surely, 241565015625 is an apocalyptic number.

41565015625 is the 203875-th square number.

41565015625 is the 101938-th centered octagonal number.

It is an amenable number.

41565015625 is a deficient number, since it is larger than the sum of its proper divisors (19133641016).

41565015625 is an frugal number, since it uses more digits than its factorization.

41565015625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 40.

The spelling of 41565015625 in words is "forty-one billion, five hundred sixty-five million, fifteen thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 233 245 625 875 1165 1225 1631 3125 4375 5825 6125 8155 11417 15625 21875 29125 30625 40775 54289 57085 109375 145625 153125 203875 271445 285425 380023 728125 765625 1019375 1357225 1427125 1900115 2660161 3640625 5096875 6786125 7135625 9500575 13300805 25484375 33930625 35678125 47502875 66504025 169653125 178390625 237514375 332520125 848265625 1187571875 1662600625 5937859375 8313003125 41565015625