Search a number
-
+
455442240 = 263511174359
BaseRepresentation
bin11011001001010…
…111111101000000
31011201222212022010
4123021113331000
51413043122430
6113105412520
714200123641
oct3311277500
91151885263
10455442240
112140a3550
1210863a140
1373483b66
14446b76c8
1529eb5cb0
hex1b257f40

455442240 has 448 divisors, whose sum is σ = 1738091520. Its totient is φ = 99778560.

The previous prime is 455442203. The next prime is 455442241. The reversal of 455442240 is 42244554.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 455442198 and 455442207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455442241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7719331 + ... + 7719389.

Almost surely, 2455442240 is an apocalyptic number.

455442240 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 455442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869045760).

455442240 is an abundant number, since it is smaller than the sum of its proper divisors (1282649280).

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

455442240 is a wasteful number, since it uses less digits than its factorization.

455442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 455442240 is about 21341.0927555268. The cubic root of 455442240 is about 769.3862765811.

Adding to 455442240 its reverse (42244554), we get a palindrome (497686794).

The spelling of 455442240 in words is "four hundred fifty-five million, four hundred forty-two thousand, two hundred forty".