Search a number
-
+
454384640 = 210588747
BaseRepresentation
bin11011000101010…
…101110000000000
31011200000010112202
4123011111300000
51412310302030
6113031012332
714155130363
oct3305256000
91150003482
10454384640
112135409a6
1210820a0a8
13731a3668
14444c00da
1529d57745
hex1b155c00

454384640 has 44 divisors (see below), whose sum is σ = 1090002936. Its totient is φ = 181751808.

The previous prime is 454384633. The next prime is 454384643. The reversal of 454384640 is 46483454.

It is a junction number, because it is equal to n+sod(n) for n = 454384594 and 454384603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454384643) 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, 39254 + ... + 49493.

It is an arithmetic number, because the mean of its divisors is an integer number (24772794).

Almost surely, 2454384640 is an apocalyptic number.

454384640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

454384640 is an abundant number, since it is smaller than the sum of its proper divisors (635618296).

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

454384640 is an equidigital number, since it uses as much as digits as its factorization.

454384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88772 (or 88754 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The square root of 454384640 is about 21316.2998665341. The cubic root of 454384640 is about 768.7902744890.

The spelling of 454384640 in words is "four hundred fifty-four million, three hundred eighty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 88747 177494 354988 443735 709976 887470 1419952 1774940 2839904 3549880 5679808 7099760 11359616 14199520 22719232 28399040 45438464 56798080 90876928 113596160 227192320 454384640