Search a number
-
+
454745088 = 21032721953
BaseRepresentation
bin11011000110101…
…101110000000000
31011200200102222200
4123012231300000
51412403320323
6113042433200
714161161300
oct3306556000
91150612880
10454745088
11213767796
12108362800
137329b745
1444575600
1529dc9443
hex1b1adc00

454745088 has 396 divisors, whose sum is σ = 1638173160. Its totient is φ = 120766464.

The previous prime is 454745047. The next prime is 454745089. The reversal of 454745088 is 880547454.

454745088 is a `hidden beast` number, since 454 + 74 + 50 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454745089) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8580070 + ... + 8580122.

Almost surely, 2454745088 is an apocalyptic number.

454745088 is a gapful number since it is divisible by the number (48) 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 454745088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819086580).

454745088 is an abundant number, since it is smaller than the sum of its proper divisors (1183428072).

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

454745088 is a wasteful number, since it uses less digits than its factorization.

454745088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 454745088 is about 21324.7529411245. The cubic root of 454745088 is about 768.9935058860.

The spelling of 454745088 in words is "four hundred fifty-four million, seven hundred forty-five thousand, eighty-eight".