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801024 = 2837149
BaseRepresentation
bin11000011100100000000
31111200210120
43003210000
5201113044
625100240
76544230
oct3034400
91450716
10801024
114a7904
12327680
132207a3
1416bcc0
1510c519
hexc3900

801024 has 72 divisors (see below), whose sum is σ = 2452800. Its totient is φ = 227328.

The previous prime is 801019. The next prime is 801037. The reversal of 801024 is 420108.

It is a Cunningham number, because it is equal to 8952-1.

It is a junction number, because it is equal to n+sod(n) for n = 800994 and 801012.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 801024.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5302 + ... + 5450.

2801024 is an apocalyptic number.

801024 is a gapful number since it is divisible by the number (84) 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 801024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226400).

801024 is an abundant number, since it is smaller than the sum of its proper divisors (1651776).

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

801024 is a wasteful number, since it uses less digits than its factorization.

801024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 801024 is about 894.9994413406. Note that the first 3 decimals coincide. The cubic root of 801024 is about 92.8713680095.

The spelling of 801024 in words is "eight hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 149 168 192 224 256 298 336 384 447 448 596 672 768 894 896 1043 1192 1344 1788 1792 2086 2384 2688 3129 3576 4172 4768 5376 6258 7152 8344 9536 12516 14304 16688 19072 25032 28608 33376 38144 50064 57216 66752 100128 114432 133504 200256 267008 400512 801024