Search a number
-
+
428565192 = 233115712843
BaseRepresentation
bin11001100010110…
…110001011001000
31002212102100220220
4121202312023020
51334203041232
6110305350040
713422513126
oct3142661310
91085370826
10428565192
111aaa06410
12bb638320
136aa33493
1440cbc916
152795742c
hex198b62c8

428565192 has 64 divisors (see below), whose sum is σ = 1171272960. Its totient is φ = 129595200.

The previous prime is 428565167. The next prime is 428565209. The reversal of 428565192 is 291565824.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 149323 + ... + 152165.

It is an arithmetic number, because the mean of its divisors is an integer number (18301140).

Almost surely, 2428565192 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 428565192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585636480).

428565192 is an abundant number, since it is smaller than the sum of its proper divisors (742707768).

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

428565192 is a wasteful number, since it uses less digits than its factorization.

428565192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3430 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 428565192 is about 20701.8161522123. The cubic root of 428565192 is about 753.9437839637.

The spelling of 428565192 in words is "four hundred twenty-eight million, five hundred sixty-five thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 571 1142 1713 2284 2843 3426 4568 5686 6281 6852 8529 11372 12562 13704 17058 18843 22744 25124 31273 34116 37686 50248 62546 68232 75372 93819 125092 150744 187638 250184 375276 750552 1623353 3246706 4870059 6493412 9740118 12986824 17856883 19480236 35713766 38960472 53570649 71427532 107141298 142855064 214282596 428565192