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455112400 = 24521137781
BaseRepresentation
bin11011001000000…
…111011011010000
31011201101002211211
4123020013123100
51413002044100
6113054345504
714164251211
oct3310073320
91151332754
10455112400
11213998756
121084bb294
13733999a2
144462d408
1529e4d1ba
hex1b2076d0

455112400 has 30 divisors (see below), whose sum is σ = 1093408502. Its totient is φ = 182044800.

The previous prime is 455112391. The next prime is 455112407. The reversal of 455112400 is 4211554.

It can be written as a sum of positive squares in 3 ways, for example, as 399424 + 454712976 = 632^2 + 21324^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455112407) 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 5 ways as a sum of consecutive naturals, for example, 568491 + ... + 569290.

Almost surely, 2455112400 is an apocalyptic number.

455112400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

455112400 is an abundant number, since it is smaller than the sum of its proper divisors (638296102).

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

455112400 is a wasteful number, since it uses less digits than its factorization.

455112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137799 (or 1137788 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 455112400 is about 21333.3635416453. The cubic root of 455112400 is about 769.2004969625.

Adding to 455112400 its reverse (4211554), we get a palindrome (459323954).

The spelling of 455112400 in words is "four hundred fifty-five million, one hundred twelve thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1137781 2275562 4551124 5688905 9102248 11377810 18204496 22755620 28444525 45511240 56889050 91022480 113778100 227556200 455112400