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8428896 = 2532737113
BaseRepresentation
bin100000001001…
…110101100000
3120212020021100
4200021311200
54124211041
6500354400
7131434020
oct40116540
916766240
108428896
114837833
1229a5a00
131991718
141195a80
15b176b6
hex809d60

8428896 has 144 divisors (see below), whose sum is σ = 28383264. Its totient is φ = 2322432.

The previous prime is 8428891. The next prime is 8428897. The reversal of 8428896 is 6988248.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8428891) 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, 74536 + ... + 74648.

It is an arithmetic number, because the mean of its divisors is an integer number (197106).

Almost surely, 28428896 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 8428896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14191632).

8428896 is an abundant number, since it is smaller than the sum of its proper divisors (19954368).

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

8428896 is a wasteful number, since it uses less digits than its factorization.

8428896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 8428896 is about 2903.2561030677. The cubic root of 8428896 is about 203.5120981565.

The spelling of 8428896 in words is "eight million, four hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 37 42 48 56 63 72 74 84 96 111 112 113 126 144 148 168 222 224 226 252 259 288 296 333 336 339 444 452 504 518 592 666 672 678 777 791 888 904 1008 1017 1036 1184 1332 1356 1554 1582 1776 1808 2016 2034 2072 2331 2373 2664 2712 3108 3164 3552 3616 4068 4144 4181 4662 4746 5328 5424 6216 6328 7119 8136 8288 8362 9324 9492 10656 10848 12432 12543 12656 14238 16272 16724 18648 18984 24864 25086 25312 28476 29267 32544 33448 37296 37629 37968 50172 56952 58534 66896 74592 75258 75936 87801 100344 113904 117068 133792 150516 175602 200688 227808 234136 263403 301032 351204 401376 468272 526806 602064 702408 936544 1053612 1204128 1404816 2107224 2809632 4214448 8428896