Search a number
-
+
530052400 = 24524330817
BaseRepresentation
bin11111100101111…
…111010100110000
31100221101110012101
4133211333110300
52041143134100
6124332510144
716064241163
oct3745772460
91327343171
10530052400
11252223239
1212961b354
1385a77b97
1450579ada
153180286a
hex1f97f530

530052400 has 60 divisors (see below), whose sum is σ = 1303108312. Its totient is φ = 207083520.

The previous prime is 530052379. The next prime is 530052409. The reversal of 530052400 is 4250035.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (530052409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1792 + ... + 32608.

Almost surely, 2530052400 is an apocalyptic number.

530052400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651554156).

530052400 is an abundant number, since it is smaller than the sum of its proper divisors (773055912).

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

530052400 is a wasteful number, since it uses less digits than its factorization.

530052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30878 (or 30867 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 530052400 is about 23022.8668935908. The cubic root of 530052400 is about 809.2939027683.

The spelling of 530052400 in words is "five hundred thirty million, fifty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 172 200 215 344 400 430 688 860 1075 1720 2150 3440 4300 8600 17200 30817 61634 123268 154085 246536 308170 493072 616340 770425 1232680 1325131 1540850 2465360 2650262 3081700 5300524 6163400 6625655 10601048 12326800 13251310 21202096 26502620 33128275 53005240 66256550 106010480 132513100 265026200 530052400