Search a number
-
+
4203264 = 28313421
BaseRepresentation
bin10000000010001100000000
321220112210110
4100002030000
52034001024
6230031320
750504262
oct20021400
97815713
104203264
112410a7a
1214a8540
13b42250
147b5b32
15580629
hex402300

4203264 has 72 divisors (see below), whose sum is σ = 12075952. Its totient is φ = 1290240.

The previous prime is 4203263. The next prime is 4203307. The reversal of 4203264 is 4623024.

It is a self number, because there is not a number n which added to its sum of digits gives 4203264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4203263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9774 + ... + 10194.

Almost surely, 24203264 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 4203264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6037976).

4203264 is an abundant number, since it is smaller than the sum of its proper divisors (7872688).

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

4203264 is a wasteful number, since it uses less digits than its factorization.

4203264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4203264 is about 2050.1863329951. The cubic root of 4203264 is about 161.3846492650.

Adding to 4203264 its reverse (4623024), we get a palindrome (8826288).

The spelling of 4203264 in words is "four million, two hundred three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 421 624 768 832 842 1248 1263 1664 1684 2496 2526 3328 3368 4992 5052 5473 6736 9984 10104 10946 13472 16419 20208 21892 26944 32838 40416 43784 53888 65676 80832 87568 107776 131352 161664 175136 262704 323328 350272 525408 700544 1050816 1401088 2101632 4203264