Search a number
-
+
428915712 = 21031743191
BaseRepresentation
bin11001100100001…
…011110000000000
31002220002011202010
4121210023300000
51334300300322
6110321052520
713425503061
oct3144136000
91086064663
10428915712
112001257a5
12bb787140
136ab26ba4
1440d70568
15279c620c
hex1990bc00

428915712 has 176 divisors, whose sum is σ = 1245100032. Its totient is φ = 130744320.

The previous prime is 428915699. The next prime is 428915717. The reversal of 428915712 is 217519824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428915717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2245537 + ... + 2245727.

It is an arithmetic number, because the mean of its divisors is an integer number (7074432).

Almost surely, 2428915712 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 428915712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622550016).

428915712 is an abundant number, since it is smaller than the sum of its proper divisors (816184320).

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

428915712 is a wasteful number, since it uses less digits than its factorization.

428915712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 256 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The square root of 428915712 is about 20710.2803457607. The cubic root of 428915712 is about 754.1492761222.

The spelling of 428915712 in words is "four hundred twenty-eight million, nine hundred fifteen thousand, seven hundred twelve".