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428704800 = 25352178627
BaseRepresentation
bin11001100011011…
…000010000100000
31002212200110102120
4121203120100200
51334222023200
6110312344240
713423634136
oct3143302040
91085613376
10428704800
111aaaa1297
12bb6a5080
136aa81ba4
1440d17756
15279839a0
hex198d8420

428704800 has 72 divisors (see below), whose sum is σ = 1395441936. Its totient is φ = 114320640.

The previous prime is 428704781. The next prime is 428704853. The reversal of 428704800 is 8407824.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86914 + ... + 91713.

It is an arithmetic number, because the mean of its divisors is an integer number (19381138).

Almost surely, 2428704800 is an apocalyptic number.

428704800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428704800 is an abundant number, since it is smaller than the sum of its proper divisors (966737136).

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

428704800 is a wasteful number, since it uses less digits than its factorization.

428704800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178650 (or 178637 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 428704800 is about 20705.1877557292. The cubic root of 428704800 is about 754.0256424989.

The spelling of 428704800 in words is "four hundred twenty-eight million, seven hundred four thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 178627 357254 535881 714508 893135 1071762 1429016 1786270 2143524 2679405 2858032 3572540 4287048 4465675 5358810 5716064 7145080 8574096 8931350 10717620 13397025 14290160 17148192 17862700 21435240 26794050 28580320 35725400 42870480 53588100 71450800 85740960 107176200 142901600 214352400 428704800