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45984125 = 531153631
BaseRepresentation
bin1010111101101…
…0100101111101
310012112020100202
42233122211331
543232443000
64321333245
71065600335
oct257324575
9105466322
1045984125
1123a58610
1213497225
1396b0555
1461700c5
154084dd5
hex2bda97d

45984125 has 32 divisors (see below), whose sum is σ = 63887616. Its totient is φ = 32760000.

The previous prime is 45984121. The next prime is 45984131. The reversal of 45984125 is 52148954.

It is not a de Polignac number, because 45984125 - 22 = 45984121 is a prime.

It is a super-2 number, since 2×459841252 = 4229079504031250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45984121) 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 31 ways as a sum of consecutive naturals, for example, 72560 + ... + 73190.

It is an arithmetic number, because the mean of its divisors is an integer number (1996488).

Almost surely, 245984125 is an apocalyptic number.

It is an amenable number.

45984125 is a deficient number, since it is larger than the sum of its proper divisors (17903491).

45984125 is a wasteful number, since it uses less digits than its factorization.

45984125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 700 counting only the distinct ones).

The product of its digits is 57600, while the sum is 38.

The square root of 45984125 is about 6781.1595616089. The cubic root of 45984125 is about 358.2635643265.

The spelling of 45984125 in words is "forty-five million, nine hundred eighty-four thousand, one hundred twenty-five".

Divisors: 1 5 11 25 53 55 125 265 275 583 631 1325 1375 2915 3155 6625 6941 14575 15775 33443 34705 72875 78875 167215 173525 367873 836075 867625 1839365 4180375 9196825 45984125