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828748125 = 335467733
BaseRepresentation
bin110001011001011…
…011000101011101
32010202102202201000
4301121123011131
53144124420000
6214122540513
726352146202
oct6131330535
92122382630
10828748125
11395896807
121b1667739
1310290a10a
147c0cdca9
154cb55000
hex3165b15d

828748125 has 80 divisors (see below), whose sum is σ = 1559250880. Its totient is φ = 434808000.

The previous prime is 828748093. The next prime is 828748169. The reversal of 828748125 is 521847828.

It is a happy number.

It is not a de Polignac number, because 828748125 - 25 = 828748093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1130259 + ... + 1130991.

It is an arithmetic number, because the mean of its divisors is an integer number (19490636).

Almost surely, 2828748125 is an apocalyptic number.

It is an amenable number.

828748125 is a deficient number, since it is larger than the sum of its proper divisors (730502755).

828748125 is an equidigital number, since it uses as much as digits as its factorization.

828748125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 808 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 828748125 is about 28787.9857753195. The cubic root of 828748125 is about 939.3069151574.

The spelling of 828748125 in words is "eight hundred twenty-eight million, seven hundred forty-eight thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 67 75 125 135 201 225 335 375 603 625 675 733 1005 1125 1675 1809 1875 2199 3015 3375 3665 5025 5625 6597 8375 9045 10995 15075 16875 18325 19791 25125 32985 41875 45225 49111 54975 75375 91625 98955 125625 147333 164925 226125 245555 274875 376875 441999 458125 494775 736665 824625 1130625 1227775 1325997 1374375 2209995 2473875 3683325 4123125 6138875 6629985 11049975 12369375 18416625 30694375 33149925 55249875 92083125 165749625 276249375 828748125