Search a number
-
+
423888512 = 27612332
BaseRepresentation
bin11001010001000…
…000011010000000
31002112121202201112
4121101000122000
51332003413022
6110021222452
713334664365
oct3121003200
91075552645
10423888512
111a8301793
12b9b61a28
1369a86908
144042246c
15273318e2
hex19440680

423888512 has 48 divisors (see below), whose sum is σ = 862008630. Its totient is φ = 207575040.

The previous prime is 423888511. The next prime is 423888533. The reversal of 423888512 is 215888324.

It can be written as a sum of positive squares in 3 ways, for example, as 118897216 + 304991296 = 10904^2 + 17464^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 423888512.

It is not an unprimeable number, because it can be changed into a prime (423888511) 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, 1819148 + ... + 1819380.

Almost surely, 2423888512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423888512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431004315).

423888512 is an abundant number, since it is smaller than the sum of its proper divisors (438120118).

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

423888512 is an frugal number, since it uses more digits than its factorization.

423888512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 296 counting only the distinct ones).

The product of its digits is 122880, while the sum is 41.

The square root of 423888512 is about 20588.5529360371. The cubic root of 423888512 is about 751.1912990366.

The spelling of 423888512 in words is "four hundred twenty-three million, eight hundred eighty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 61 64 122 128 233 244 466 488 932 976 1864 1952 3728 3904 7456 7808 14213 14912 28426 29824 54289 56852 108578 113704 217156 227408 434312 454816 868624 909632 1737248 1819264 3311629 3474496 6623258 6948992 13246516 26493032 52986064 105972128 211944256 423888512