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9025128 = 2333747127
BaseRepresentation
bin100010011011…
…011001101000
3121222112011000
4202123121220
54302301003
6521235000
7136466220
oct42333150
917875130
109025128
115104792
123032a60
131b3cc18
1412ad080
15bd41a3
hex89b668

9025128 has 128 divisors (see below), whose sum is σ = 29491200. Its totient is φ = 2503872.

The previous prime is 9025117. The next prime is 9025139. The reversal of 9025128 is 8215209.

It is an interprime number because it is at equal distance from previous prime (9025117) and next prime (9025139).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71001 + ... + 71127.

It is an arithmetic number, because the mean of its divisors is an integer number (230400).

Almost surely, 29025128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9025128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14745600).

9025128 is an abundant number, since it is smaller than the sum of its proper divisors (20466072).

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

9025128 is a wasteful number, since it uses less digits than its factorization.

9025128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 9025128 is about 3004.1850808497. The cubic root of 9025128 is about 208.2017888875.

The spelling of 9025128 in words is "nine million, twenty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 63 72 84 94 108 126 127 141 168 188 189 216 252 254 282 329 376 378 381 423 504 508 564 658 756 762 846 889 987 1016 1128 1143 1269 1316 1512 1524 1692 1778 1974 2286 2538 2632 2667 2961 3048 3384 3429 3556 3948 4572 5076 5334 5922 5969 6858 7112 7896 8001 8883 9144 10152 10668 11844 11938 13716 16002 17766 17907 21336 23688 23876 24003 27432 32004 35532 35814 41783 47752 48006 53721 64008 71064 71628 83566 96012 107442 125349 143256 161163 167132 192024 214884 250698 322326 334264 376047 429768 501396 644652 752094 1002792 1128141 1289304 1504188 2256282 3008376 4512564 9025128