Search a number
-
+
452441440 = 25511257069
BaseRepresentation
bin11010111101111…
…011010101100000
31011112100101222101
4122331323111200
51411311111230
6112521220144
714132455153
oct3275732540
91145311871
10452441440
11212433a50
12107631654
1372973039
1444135c9a
1529ac1aca
hex1af7b560

452441440 has 48 divisors (see below), whose sum is σ = 1166069520. Its totient is φ = 164523520.

The previous prime is 452441413. The next prime is 452441459. The reversal of 452441440 is 44144254.

It is a junction number, because it is equal to n+sod(n) for n = 452441399 and 452441408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126775 + ... + 130294.

It is an arithmetic number, because the mean of its divisors is an integer number (24293115).

Almost surely, 2452441440 is an apocalyptic number.

452441440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

452441440 is an abundant number, since it is smaller than the sum of its proper divisors (713628080).

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

452441440 is a wasteful number, since it uses less digits than its factorization.

452441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257095 (or 257087 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The square root of 452441440 is about 21270.6708873980. The cubic root of 452441440 is about 767.6927843866.

Adding to 452441440 its reverse (44144254), we get a palindrome (496585694).

The spelling of 452441440 in words is "four hundred fifty-two million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 257069 514138 1028276 1285345 2056552 2570690 2827759 4113104 5141380 5655518 8226208 10282760 11311036 14138795 20565520 22622072 28277590 41131040 45244144 56555180 90488288 113110360 226220720 452441440