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80824000 = 265310103
BaseRepresentation
bin1001101000101…
…00011011000000
312122002021200111
410310110123000
5131142332000
612004201104
72000664325
oct464243300
9178067614
1080824000
11416942a4
1223099194
131398b46a
14aa3cb4c
157167cba
hex4d146c0

80824000 has 56 divisors (see below), whose sum is σ = 200180448. Its totient is φ = 32326400.

The previous prime is 80823991. The next prime is 80824013. The reversal of 80824000 is 42808.

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, 2949 + ... + 13051.

Almost surely, 280824000 is an apocalyptic number.

80824000 is a gapful number since it is divisible by the number (80) 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 80824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100090224).

80824000 is an abundant number, since it is smaller than the sum of its proper divisors (119356448).

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

80824000 is a wasteful number, since it uses less digits than its factorization.

80824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10130 (or 10110 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 80824000 is about 8990.2169050585. The cubic root of 80824000 is about 432.3612661603.

Adding to 80824000 its reverse (42808), we get a palindrome (80866808).

The spelling of 80824000 in words is "eighty million, eight hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 10103 20206 40412 50515 80824 101030 161648 202060 252575 323296 404120 505150 646592 808240 1010300 1262875 1616480 2020600 2525750 3232960 4041200 5051500 8082400 10103000 16164800 20206000 40412000 80824000