Search a number
-
+
451657480 = 23511291437
BaseRepresentation
bin11010111010111…
…011111100001000
31011110212120120211
4122322323330020
51411111014410
6112452330504
714123011441
oct3272737410
91143776524
10451657480
11211a48a4a
12107313a34
137275a261
1443db02c8
15299b968a
hex1aebbf08

451657480 has 16 divisors (see below), whose sum is σ = 1016229420. Its totient is φ = 180662976.

The previous prime is 451657469. The next prime is 451657489. The reversal of 451657480 is 84756154.

451657480 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 401842116 + 49815364 = 20046^2 + 7058^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 11291437 = 451657480 / (4 + 5 + 1 + 6 + 5 + 7 + 4 + 8 + 0).

It is not an unprimeable number, because it can be changed into a prime (451657489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5645679 + ... + 5645758.

Almost surely, 2451657480 is an apocalyptic number.

451657480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

451657480 is an abundant number, since it is smaller than the sum of its proper divisors (564571940).

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

451657480 is a wasteful number, since it uses less digits than its factorization.

451657480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11291448 (or 11291444 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 451657480 is about 21252.2347060256. The cubic root of 451657480 is about 767.2491259545.

The spelling of 451657480 in words is "four hundred fifty-one million, six hundred fifty-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 11291437 22582874 45165748 56457185 90331496 112914370 225828740 451657480