Search a number
-
+
454251040 = 2552839069
BaseRepresentation
bin11011000100110…
…101001000100000
31011122202100021121
4123010311020200
51412242013130
6113024102024
714154033025
oct3304651040
91148670247
10454251040
1121345a591
12108164914
13731578c9
144448754c
1529d2cd7a
hex1b135220

454251040 has 24 divisors (see below), whose sum is σ = 1073168460. Its totient is φ = 181700352.

The previous prime is 454250981. The next prime is 454251047. The reversal of 454251040 is 40152454.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 450967696 + 3283344 = 21236^2 + 1812^2 .

It is a junction number, because it is equal to n+sod(n) for n = 454250996 and 454251014.

It is not an unprimeable number, because it can be changed into a prime (454251047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1419375 + ... + 1419694.

Almost surely, 2454251040 is an apocalyptic number.

454251040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

454251040 is an abundant number, since it is smaller than the sum of its proper divisors (618917420).

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

454251040 is a wasteful number, since it uses less digits than its factorization.

454251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839084 (or 2839076 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 454251040 is about 21313.1658840258. The cubic root of 454251040 is about 768.7149194999.

The spelling of 454251040 in words is "four hundred fifty-four million, two hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2839069 5678138 11356276 14195345 22712552 28390690 45425104 56781380 90850208 113562760 227125520 454251040