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9256896 = 263311487
BaseRepresentation
bin100011010011…
…111111000000
3122102022002000
4203103333000
54332210041
6530224000
7141453015
oct43237700
918368060
109256896
115252930
123125000
131bc156c
14132d70c
15c2cbb6
hex8d3fc0

9256896 has 112 divisors (see below), whose sum is σ = 29748480. Its totient is φ = 2799360.

The previous prime is 9256873. The next prime is 9256901. The reversal of 9256896 is 6986529.

9256896 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18765 + ... + 19251.

Almost surely, 29256896 is an apocalyptic number.

9256896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9256896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14874240).

9256896 is an abundant number, since it is smaller than the sum of its proper divisors (20491584).

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

9256896 is a wasteful number, since it uses less digits than its factorization.

9256896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 503 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 9256896 is about 3042.5147493480. The cubic root of 9256896 is about 209.9689750085.

The spelling of 9256896 in words is "nine million, two hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 487 528 576 594 704 792 864 974 1056 1188 1461 1584 1728 1948 2112 2376 2922 3168 3896 4383 4752 5357 5844 6336 7792 8766 9504 10714 11688 13149 15584 16071 17532 19008 21428 23376 26298 31168 32142 35064 42856 46752 48213 52596 64284 70128 85712 93504 96426 105192 128568 140256 144639 171424 192852 210384 257136 280512 289278 342848 385704 420768 514272 578556 771408 841536 1028544 1157112 1542816 2314224 3085632 4628448 9256896