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455041540 = 225373072003
BaseRepresentation
bin11011000111110…
…110001000000100
31011201020111122101
4123013312020010
51412442312130
6113053041444
714163534502
oct3307661004
91151214571
10455041540
1121394a498
12108486284
1373373665
1444611672
1529e371ca
hex1b1f6204

455041540 has 48 divisors (see below), whose sum is σ = 985102272. Its totient is φ = 176432256.

The previous prime is 455041519. The next prime is 455041541. The reversal of 455041540 is 45140554.

It is a junction number, because it is equal to n+sod(n) for n = 455041499 and 455041508.

It is not an unprimeable number, because it can be changed into a prime (455041541) 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 15 ways as a sum of consecutive naturals, for example, 226179 + ... + 228181.

It is an arithmetic number, because the mean of its divisors is an integer number (20522964).

Almost surely, 2455041540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455041540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492551136).

455041540 is an abundant number, since it is smaller than the sum of its proper divisors (530060732).

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

455041540 is a wasteful number, since it uses less digits than its factorization.

455041540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The square root of 455041540 is about 21331.7026980970. The cubic root of 455041540 is about 769.1605739485.

The spelling of 455041540 in words is "four hundred fifty-five million, forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 307 370 614 740 1228 1535 2003 3070 4006 6140 8012 10015 11359 20030 22718 40060 45436 56795 74111 113590 148222 227180 296444 370555 614921 741110 1229842 1482220 2459684 3074605 6149210 12298420 22752077 45504154 91008308 113760385 227520770 455041540