Search a number
-
+
452350000 = 245583109
BaseRepresentation
bin11010111101100…
…101000000110000
31011112011202112201
4122331211000300
51411300200000
6112515232544
714131624444
oct3275450060
91145152481
10452350000
11212381283
121075a8754
137294052b
1444110824
1529aa496a
hex1af65030

452350000 has 120 divisors (see below), whose sum is σ = 1118834640. Its totient is φ = 177120000.

The previous prime is 452349977. The next prime is 452350001. The reversal of 452350000 is 53254.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 452350000.

It is not an unprimeable number, because it can be changed into a prime (452350001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4149946 + ... + 4150054.

It is an arithmetic number, because the mean of its divisors is an integer number (9323622).

Almost surely, 2452350000 is an apocalyptic number.

452350000 is a gapful number since it is divisible by the number (40) 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 452350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559417320).

452350000 is an abundant number, since it is smaller than the sum of its proper divisors (666484640).

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

452350000 is an equidigital number, since it uses as much as digits as its factorization.

452350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 199 counting only the distinct ones).

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

The square root of 452350000 is about 21268.5213402343. The cubic root of 452350000 is about 767.6410631018.

The spelling of 452350000 in words is "four hundred fifty-two million, three hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 109 125 166 200 218 250 332 400 415 436 500 545 625 664 830 872 1000 1090 1250 1328 1660 1744 2000 2075 2180 2500 2725 3125 3320 4150 4360 5000 5450 6250 6640 8300 8720 9047 10000 10375 10900 12500 13625 16600 18094 20750 21800 25000 27250 33200 36188 41500 43600 45235 50000 51875 54500 68125 72376 83000 90470 103750 109000 136250 144752 166000 180940 207500 218000 226175 259375 272500 340625 361880 415000 452350 518750 545000 681250 723760 830000 904700 1037500 1090000 1130875 1362500 1809400 2075000 2261750 2725000 3618800 4150000 4523500 5450000 5654375 9047000 11308750 18094000 22617500 28271875 45235000 56543750 90470000 113087500 226175000 452350000