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427280800 = 2552534101
BaseRepresentation
bin11001011101111…
…100100110100000
31002210000010001211
4121131330212200
51333340441200
6110222035504
713405553422
oct3135744640
91083003054
10427280800
111aa209431
12bb118b94
136a6a399b
1440a66812
15277a1aba
hex1977c9a0

427280800 has 36 divisors (see below), whose sum is σ = 1043101206. Its totient is φ = 170912000.

The previous prime is 427280767. The next prime is 427280801. The reversal of 427280800 is 8082724.

It can be written as a sum of positive squares in 3 ways, for example, as 344325136 + 82955664 = 18556^2 + 9108^2 .

It is not an unprimeable number, because it can be changed into a prime (427280801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 266251 + ... + 267850.

Almost surely, 2427280800 is an apocalyptic number.

427280800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427280800 is an abundant number, since it is smaller than the sum of its proper divisors (615820406).

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

427280800 is a wasteful number, since it uses less digits than its factorization.

427280800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534121 (or 534108 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 427280800 is about 20670.7716353309. The cubic root of 427280800 is about 753.1898509378.

The spelling of 427280800 in words is "four hundred twenty-seven million, two hundred eighty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 534101 1068202 2136404 2670505 4272808 5341010 8545616 10682020 13352525 17091232 21364040 26705050 42728080 53410100 85456160 106820200 213640400 427280800