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9255384 = 2337232
BaseRepresentation
bin100011010011…
…100111011000
3122102020000000
4203103213120
54332133014
6530213000
7141445425
oct43234730
918366000
109255384
115251786
123124160
131bc0978
14132cd4c
15c2c509
hex8d39d8

9255384 has 96 divisors (see below), whose sum is σ = 27207600. Its totient is φ = 2950992.

The previous prime is 9255383. The next prime is 9255397. The reversal of 9255384 is 4835529.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

9255384 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 92 + 222 + 5 + 56 + 314 + 86 + 44 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9255383) 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, 402397 + ... + 402419.

Almost surely, 29255384 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 9255384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13603800).

9255384 is an abundant number, since it is smaller than the sum of its proper divisors (17952216).

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

9255384 is an equidigital number, since it uses as much as digits as its factorization.

9255384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 28 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 9255384 is about 3042.2662605367. The cubic root of 9255384 is about 209.9575424370.

The spelling of 9255384 in words is "nine million, two hundred fifty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 243 276 324 414 486 529 552 621 648 729 828 972 1058 1242 1458 1587 1656 1863 1944 2116 2187 2484 2916 3174 3726 4232 4374 4761 4968 5589 5832 6348 7452 8748 9522 11178 12696 14283 14904 16767 17496 19044 22356 28566 33534 38088 42849 44712 50301 57132 67068 85698 100602 114264 128547 134136 171396 201204 257094 342792 385641 402408 514188 771282 1028376 1156923 1542564 2313846 3085128 4627692 9255384