[go: up one dir, main page]

Search a number
-
+
5440432000 = 2753340027
BaseRepresentation
bin1010001000100011…
…00110011110000000
3112001011010120200111
411010101212132000
542120222311000
62255503201104
7251550623533
oct50421463600
915034116614
105440432000
112341a890a3
121079ba6194
13689188543
1439878ca1a
1521c954cba
hex144466780

5440432000 has 64 divisors (see below), whose sum is σ = 13526313840. Its totient is φ = 2176166400.

The previous prime is 5440431989. The next prime is 5440432007. The reversal of 5440432000 is 2340445.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5440432007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154014 + ... + 186013.

Almost surely, 25440432000 is an apocalyptic number.

5440432000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5440432000 is an abundant number, since it is smaller than the sum of its proper divisors (8085881840).

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

5440432000 is an equidigital number, since it uses as much as digits as its factorization.

5440432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340056 (or 340034 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 5440432000 is about 73759.2841613854. The cubic root of 5440432000 is about 1758.7784222981.

Adding to 5440432000 its reverse (2340445), we get a palindrome (5442772445).

The spelling of 5440432000 in words is "five billion, four hundred forty million, four hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 340027 680054 1360108 1700135 2720216 3400270 5440432 6800540 8500675 10880864 13601080 17001350 21761728 27202160 34002700 42503375 43523456 54404320 68005400 85006750 108808640 136010800 170013500 217617280 272021600 340027000 544043200 680054000 1088086400 1360108000 2720216000 5440432000