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427104400 = 24521067761
BaseRepresentation
bin11001011101010…
…001100010010000
31002202200011002111
4121131101202100
51333314320100
6110214155104
713404220222
oct3135214220
91082604074
10427104400
111aa0a8948
12bb052a94
136a6415c8
1440a1c412
15277696ba
hex19751890

427104400 has 30 divisors (see below), whose sum is σ = 1026119282. Its totient is φ = 170841600.

The previous prime is 427104397. The next prime is 427104407. The reversal of 427104400 is 4401724.

It can be written as a sum of positive squares in 3 ways, for example, as 3732624 + 423371776 = 1932^2 + 20576^2 .

It is not an unprimeable number, because it can be changed into a prime (427104407) 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, 533481 + ... + 534280.

Almost surely, 2427104400 is an apocalyptic number.

427104400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427104400 is an abundant number, since it is smaller than the sum of its proper divisors (599014882).

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

427104400 is a wasteful number, since it uses less digits than its factorization.

427104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067779 (or 1067768 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 427104400 is about 20666.5043004375. The cubic root of 427104400 is about 753.0861868854.

The spelling of 427104400 in words is "four hundred twenty-seven million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1067761 2135522 4271044 5338805 8542088 10677610 17084176 21355220 26694025 42710440 53388050 85420880 106776100 213552200 427104400