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128823025 = 5217417393
BaseRepresentation
bin1111010110110…
…10111011110001
322222101212222011
413223122323301
5230434314100
620441042521
73122656222
oct753327361
9288355864
10128823025
1166798711
1237186441
13208c5b56
1413175249
15b499bba
hex7adaef1

128823025 has 24 divisors (see below), whose sum is σ = 173285784. Its totient is φ = 94617600.

The previous prime is 128823007. The next prime is 128823029. The reversal of 128823025 is 520328821.

It can be written as a sum of positive squares in 12 ways, for example, as 73290721 + 55532304 = 8561^2 + 7452^2 .

It is not a de Polignac number, because 128823025 - 29 = 128822513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128823029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13729 + ... + 21121.

It is an arithmetic number, because the mean of its divisors is an integer number (7220241).

Almost surely, 2128823025 is an apocalyptic number.

It is an amenable number.

128823025 is a deficient number, since it is larger than the sum of its proper divisors (44462759).

128823025 is a wasteful number, since it uses less digits than its factorization.

128823025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7461 (or 7456 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 128823025 is about 11350.0231277297. The cubic root of 128823025 is about 505.0462657348.

The spelling of 128823025 in words is "one hundred twenty-eight million, eight hundred twenty-three thousand, twenty-five".

Divisors: 1 5 17 25 41 85 205 425 697 1025 3485 7393 17425 36965 125681 184825 303113 628405 1515565 3142025 5152921 7577825 25764605 128823025