Search a number
-
+
454888100 = 225212893529
BaseRepresentation
bin11011000111010…
…000101010100100
31011200221201011102
4123013100222210
51412422404400
6113045455232
714162325242
oct3307205244
91150851142
10454888100
11213855187
12108411518
137331b874
14445b1792
1529e069d5
hex1b1d0aa4

454888100 has 36 divisors (see below), whose sum is σ = 988152900. Its totient is φ = 181762560.

The previous prime is 454888081. The next prime is 454888123. The reversal of 454888100 is 1888454.

It can be written as a sum of positive squares in 6 ways, for example, as 19998784 + 434889316 = 4472^2 + 20854^2 .

It is a super-2 number, since 2×4548881002 = 413846367043220000, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 127136 + ... + 130664.

Almost surely, 2454888100 is an apocalyptic number.

It is an amenable number.

454888100 is an abundant number, since it is smaller than the sum of its proper divisors (533264800).

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

454888100 is a wasteful number, since it uses less digits than its factorization.

454888100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4825 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 38.

The square root of 454888100 is about 21328.1058699548. The cubic root of 454888100 is about 769.0741105848.

The spelling of 454888100 in words is "four hundred fifty-four million, eight hundred eighty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1289 2578 3529 5156 6445 7058 12890 14116 17645 25780 32225 35290 64450 70580 88225 128900 176450 352900 4548881 9097762 18195524 22744405 45488810 90977620 113722025 227444050 454888100