Search a number
-
+
453455200 = 2552112272
BaseRepresentation
bin11011000001110…
…010110101100000
31011121020220121001
4123001302311200
51412041031300
6112555041344
714144206552
oct3301626540
91147226531
10453455200
11212a66670
12107a40254
1372c395b3
144431b4d2
1529c2216a
hex1b072d60

453455200 has 108 divisors (see below), whose sum is σ = 1212977052. Its totient is φ = 164166400.

The previous prime is 453455153. The next prime is 453455207. The reversal of 453455200 is 2554354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (453455207) 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 17 ways as a sum of consecutive naturals, for example, 1997487 + ... + 1997713.

It is an arithmetic number, because the mean of its divisors is an integer number (11231269).

Almost surely, 2453455200 is an apocalyptic number.

453455200 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 453455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606488526).

453455200 is an abundant number, since it is smaller than the sum of its proper divisors (759521852).

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

453455200 is a wasteful number, since it uses less digits than its factorization.

453455200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 453455200 is about 21294.4875495984. The cubic root of 453455200 is about 768.2657319742.

The spelling of 453455200 in words is "four hundred fifty-three million, four hundred fifty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 227 275 352 400 440 454 550 800 880 908 1100 1135 1760 1816 2200 2270 2497 3632 4400 4540 4994 5675 7264 8800 9080 9988 11350 12485 18160 19976 22700 24970 36320 39952 45400 49940 51529 62425 79904 90800 99880 103058 124850 181600 199760 206116 249700 257645 399520 412232 499400 515290 566819 824464 998800 1030580 1133638 1288225 1648928 1997600 2061160 2267276 2576450 2834095 4122320 4534552 5152900 5668190 8244640 9069104 10305800 11336380 14170475 18138208 20611600 22672760 28340950 41223200 45345520 56681900 90691040 113363800 226727600 453455200