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427400000 = 26552137
BaseRepresentation
bin11001011110011…
…001101101000000
31002210020011120122
4121132121231000
51333403300000
6110224355412
713406561066
oct3136315500
91083204518
10427400000
111aa28aa45
12bb175b68
136a716011
1440a98036
15277c7085
hex19799b40

427400000 has 84 divisors (see below), whose sum is σ = 1060580556. Its totient is φ = 170880000.

The previous prime is 427399969. The next prime is 427400021. The reversal of 427400000 is 4724.

It can be written as a sum of positive squares in 6 ways, for example, as 418447936 + 8952064 = 20456^2 + 2992^2 .

It is a congruent number.

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, 198932 + ... + 201068.

It is an arithmetic number, because the mean of its divisors is an integer number (12625959).

Almost surely, 2427400000 is an apocalyptic number.

427400000 is a gapful number since it is divisible by the number (40) 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 427400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530290278).

427400000 is an abundant number, since it is smaller than the sum of its proper divisors (633180556).

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

427400000 is an frugal number, since it uses more digits than its factorization.

427400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 427400000 is about 20673.6547325334. The cubic root of 427400000 is about 753.2598844168.

Adding to 427400000 its reverse (4724), we get a palindrome (427404724).

The spelling of 427400000 in words is "four hundred twenty-seven million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2137 2500 3125 4000 4274 5000 6250 8000 8548 10000 10685 12500 17096 20000 21370 25000 34192 40000 42740 50000 53425 68384 85480 100000 106850 136768 170960 200000 213700 267125 341920 427400 534250 683840 854800 1068500 1335625 1709600 2137000 2671250 3419200 4274000 5342500 6678125 8548000 10685000 13356250 17096000 21370000 26712500 42740000 53425000 85480000 106850000 213700000 427400000