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40033765625 = 567252289
BaseRepresentation
bin100101010010001100…
…101100100011111001
310211100000121000020012
4211102030230203321
51123442121000000
630220302311305
72615034251600
oct452214544371
9124300530205
1040033765625
1115a84020717
127913288535
133a10075519
141d1ac7aa37
151094956735
hex95232c8f9

40033765625 has 42 divisors (see below), whose sum is σ = 58212731430. Its totient is φ = 27451200000.

The previous prime is 40033765621. The next prime is 40033765649. The reversal of 40033765625 is 52656733004.

It can be written as a sum of positive squares in 7 ways, for example, as 39844950544 + 188815081 = 199612^2 + 13741^2 .

It is not a de Polignac number, because 40033765625 - 22 = 40033765621 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40033765621) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 739481 + ... + 791769.

It is an arithmetic number, because the mean of its divisors is an integer number (1386017415).

Almost surely, 240033765625 is an apocalyptic number.

It is an amenable number.

40033765625 is a deficient number, since it is larger than the sum of its proper divisors (18178965805).

40033765625 is an frugal number, since it uses more digits than its factorization.

40033765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52333 (or 52301 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 41.

The spelling of 40033765625 in words is "forty billion, thirty-three million, seven hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 625 875 1225 3125 4375 6125 15625 21875 30625 52289 109375 153125 261445 366023 765625 1307225 1830115 2562161 6536125 9150575 12810805 32680625 45752875 64054025 163403125 228764375 320270125 817015625 1143821875 1601350625 5719109375 8006753125 40033765625