Search a number
-
+
418468368 = 2438718091
BaseRepresentation
bin11000111100010…
…101001000010000
31002011102101200110
4120330111020100
51324111441433
6105305121320
713240631253
oct3074251020
91064371613
10418468368
111a523a52a
12b8189240
1368909826
143d81109a
1526b10963
hex18f15210

418468368 has 20 divisors (see below), whose sum is σ = 1081043408. Its totient is φ = 139489440.

The previous prime is 418468367. The next prime is 418468373. The reversal of 418468368 is 863864814.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 8718091 = 418468368 / (4 + 1 + 8 + 4 + 6 + 8 + 3 + 6 + 8).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (418468363) 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, 4358998 + ... + 4359093.

Almost surely, 2418468368 is an apocalyptic number.

418468368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

418468368 is an abundant number, since it is smaller than the sum of its proper divisors (662575040).

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

418468368 is a wasteful number, since it uses less digits than its factorization.

418468368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8718102 (or 8718096 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 418468368 is about 20456.4994072789. The cubic root of 418468368 is about 747.9757968281.

The spelling of 418468368 in words is "four hundred eighteen million, four hundred sixty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 8718091 17436182 26154273 34872364 52308546 69744728 104617092 139489456 209234184 418468368