Search a number
-
+
455572260 = 22325112131609
BaseRepresentation
bin11011001001110…
…111101100100100
31011202020110122200
4123021313230210
51413111303020
6113112254500
714201205003
oct3311675444
91152213580
10455572260
11214182200
121086a1430
13734cb0b0
144470cc3a
1529ede590
hex1b277b24

455572260 has 216 divisors, whose sum is σ = 1636809720. Its totient is φ = 101882880.

The previous prime is 455572199. The next prime is 455572283. The reversal of 455572260 is 62275554.

455572260 is a `hidden beast` number, since 45 + 557 + 2 + 2 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84162276 + 371409984 = 9174^2 + 19272^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 282336 + ... + 283944.

Almost surely, 2455572260 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 455572260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818404860).

455572260 is an abundant number, since it is smaller than the sum of its proper divisors (1181237460).

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

455572260 is a wasteful number, since it uses less digits than its factorization.

455572260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 455572260 is about 21344.1387739117. The cubic root of 455572260 is about 769.4594846098.

The spelling of 455572260 in words is "four hundred fifty-five million, five hundred seventy-two thousand, two hundred sixty".