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128725650 = 23252416977
BaseRepresentation
bin1111010110000…
…11001010010010
322222012221101200
413223003022102
5230423210100
620435012030
73122102304
oct753031222
9288187350
10128725650
1166731539
123713a016
1320890731
141314b974
15b47ae00
hex7ac3292

128725650 has 72 divisors (see below), whose sum is σ = 354328884. Its totient is φ = 33484800.

The previous prime is 128725643. The next prime is 128725651. The reversal of 128725650 is 56527821.

It is a happy number.

128725650 is a `hidden beast` number, since 1 + 28 + 72 + 565 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5049009 + 123676641 = 2247^2 + 11121^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (128725651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14962 + ... + 21938.

Almost surely, 2128725650 is an apocalyptic number.

128725650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128725650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177164442).

128725650 is an abundant number, since it is smaller than the sum of its proper divisors (225603234).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

128725650 is a wasteful number, since it uses less digits than its factorization.

128725650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7036 (or 7028 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 128725650 is about 11345.7326779719. The cubic root of 128725650 is about 504.9189818726.

The spelling of 128725650 in words is "one hundred twenty-eight million, seven hundred twenty-five thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 150 205 225 246 369 410 450 615 738 1025 1230 1845 2050 3075 3690 6150 6977 9225 13954 18450 20931 34885 41862 62793 69770 104655 125586 174425 209310 286057 313965 348850 523275 572114 627930 858171 1046550 1430285 1569825 1716342 2574513 2860570 3139650 4290855 5149026 7151425 8581710 12872565 14302850 21454275 25745130 42908550 64362825 128725650