Search a number
-
+
4228524 = 223431421
BaseRepresentation
bin10000001000010110101100
321221211110000
4100020112230
52040303044
6230344300
750641026
oct20102654
97854400
104228524
112428a53
1214bb090
13b508b1
147c1016
15587d69
hex4085ac

4228524 has 60 divisors (see below), whose sum is σ = 11437888. Its totient is φ = 1360800.

The previous prime is 4228513. The next prime is 4228531. The reversal of 4228524 is 4258224.

It is a happy number.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9834 + ... + 10254.

Almost surely, 24228524 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 4228524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718944).

4228524 is an abundant number, since it is smaller than the sum of its proper divisors (7209364).

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

4228524 is a wasteful number, since it uses less digits than its factorization.

4228524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 457 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 4228524 is about 2056.3375209338. The cubic root of 4228524 is about 161.7072903663.

The spelling of 4228524 in words is "four million, two hundred twenty-eight thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 421 558 837 842 1116 1263 1674 1684 2511 2526 3348 3789 5022 5052 7578 10044 11367 13051 15156 22734 26102 34101 39153 45468 52204 68202 78306 117459 136404 156612 234918 352377 469836 704754 1057131 1409508 2114262 4228524