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427485200 = 24521068713
BaseRepresentation
bin11001011110101…
…110100000010000
31002210101111110012
4121132232200100
51333414011300
6110230254052
713410364352
oct3136564020
91083344405
10427485200
111aa338a5a
12bb1b7328
136a745a2c
1440abb0d2
15277e2435
hex197ae810

427485200 has 30 divisors (see below), whose sum is σ = 1027034154. Its totient is φ = 170993920.

The previous prime is 427485137. The next prime is 427485203. The reversal of 427485200 is 2584724.

It can be written as a sum of positive squares in 3 ways, for example, as 24760576 + 402724624 = 4976^2 + 20068^2 .

It is not an unprimeable number, because it can be changed into a prime (427485203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 533957 + ... + 534756.

Almost surely, 2427485200 is an apocalyptic number.

427485200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427485200 is an abundant number, since it is smaller than the sum of its proper divisors (599548954).

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

427485200 is a wasteful number, since it uses less digits than its factorization.

427485200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068731 (or 1068720 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 427485200 is about 20675.7152234209. The cubic root of 427485200 is about 753.3099339240.

The spelling of 427485200 in words is "four hundred twenty-seven million, four hundred eighty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1068713 2137426 4274852 5343565 8549704 10687130 17099408 21374260 26717825 42748520 53435650 85497040 106871300 213742600 427485200